Calculus Tutorial Playlist
Lesson 201 of 293 · Logarithmic Differentiation – Rules, Examples, Exponential Functions – Calculus & Derivatives · Basic studies
Logarithmic Differentiation – Rules, Examples, Exponential Functions – Calculus & Derivatives
This calculus video tutorial explains how to perform logarithmic differentiation on natural logs and regular logarithmic functions including exponential functions such as e^x. This video provides the formulas and equations as well as the rules that you need to apply use logarithmic differentiation to find the derivative of functions instead of using the product rule, quotient rule, or even the chain rule. This video contains plenty of practice problems. Examples include x^x, e^4x, x^sinx, plus many more.
- (lnx)^2
- 1/sqrt(x)
- 1/x
- 1/x^2
- 2^x
- 3 step continuity test
- 3 variables
- ab
- about x axis
- about y axis
- abs x
- abs(x)
- absolute
- Absolute Extrema
- absolute min and max
- absolute minimum and maximum calculus
- Absolute Value
- absolute value functions
- absolute value of x
- acceleration
- acceleration time graph
- adding and subtracting vectors
- airplane
- algebra
- algebra 1
- algebra 2
- alternative definition of derivative
- angle
- angle of elevation
- Antiderivative
- antiderivative calculus
- antiderivatives
- antiderivatives of exponential functions
- antiderivatives of fractions
- antiderivatives of square roots
- antiderivatives of trig functions
- antidifferentiation
- ap calc
- AP Calculus
- approximate integration midpoint rule
- approximate integration simpson's rule
- approximate integraton
- approximation
- Arc Length
- arc length calculus
- arc length examples
- arc length formula
- arc length integration
- area
- area approximation
- area between curves
- area between two curves
- area between two curves respect to y
- area of shaded region
- area under a curve
- area under curve
- around non axis
- Asymptotes
- AVERAGE
- average cost
- Average Rate of Change
- average rate of change between two points
- average rate of change calculus
- average rate of change of a function
- average rate of change over an interval
- average speed
- average value
- average value of a function
- average value of a function calculus
- average value of a function on an interval using calculus
- average velocity
- Back to School
- base
- baseball diamond
- Basic
- basic integration
- basic integration formulas
- basic integration problems
- basic integration rules
- basic introduction
- basics
- between two points
- boat problem
- Box
- box and whisker plots
- business
- business calculus
- c value
- calc 2
- Calculus
- calculus 1
- calculus 1 derivatives
- calculus 1 limits
- calculus 1 review
- calculus 2
- Calculus 3
- calculus basic introduction
- calculus continuity and discontinuity
- calculus derivatives
- calculus introduction
- calculus limits
- calculus limits and continuity
- calculus limits explained
- calculus limits review
- calculus position velocity acceleration
- calculus review
- Cars
- Chain Rule
- chain rule calculus
- chain rule derivatives
- chain rule derivatives calculus
- chain rule derivatives square root
- chain rule derivatives trig functions
- chain rule examples
- chain rule with trig functions
- Channel
- circle
- circles
- closed interval
- common denominator
- Completing the Square
- complex fraction
- component form
- composite functions
- concave down
- concave up
- concavity
- concavity and inflection point
- cone
- conic sections
- conical pile
- conical tank
- conjugate
- constant
- constant c
- constant multiple rule
- continuity
- continuity basic introduction
- continuity calculus
- continuity introduction
- continuity of a function
- continuity of limits
- continuity test
- Continuous
- convergence
- convergent
- cooling
- cos
- cos^-1 (x^2)
- cos^3x
- cos(2x)
- cos(x^3)
- cos(xy)
- Cosine
- cost
- cost function
- cosx
- cot
- cot^-1 (3x)
- cotx
- critical numbers
- critical numbers calculus
- Critical Points
- critical points and extrema
- critical points and inflection points
- critical points calculus
- cross sectional volume
- cross sections
- cross sections calculus
- cross sections of solid
- csc
- cscx
- cube
- cumulative relative frequency
- curve
- curve sketching
- curve sketching asymptotes
- curve sketching calculus
- curve sketching rational functions
- curve sketching using derivatives
- curve sketching using the first and second derivatives
- cusps
- cylinder
- cylindrical shells
- cylindrical shells about x axis
- cylindrical shells about y axis
- cylindrical shells calculus
- d^2y/dx^2
- data table
- decreasing function
- definite integral
- definite integral calculus
- definite integral examples
- definite integral formula
- definite integrals
- definition of derivative
- definition of derivative 1/sqrt(x)
- definition of derivative fraction
- definition of derivative square root
- delta x
- delta y
- demand
- demand function
- demand function calculus
- Derivative
- derivative definition
- derivative of inverse functions
- derivative of inverse functions calculus
- derivative of inverse functions examples
- derivative of x^x^x
- Derivatives
- derivatives absolute value
- derivatives calculus
- derivatives chain rule
- derivatives chain rule and product rule
- derivatives limit process
- derivatives of absolute value functions
- derivatives of composite functions
- derivatives of exponential functions
- derivatives of inverse functions practice problems
- derivatives of inverse trigonometric functions
- derivatives of logarithmic functions
- derivatives of logs
- derivatives of natural logs
- derivatives of trigonometric functions
- derivatives of trigonometric functions chain rule
- derivatives power rule
- derivatives product rule
- derivatives quotient rule
- derivatives square roots
- desmos
- difference of cubes
- difference of squares
- Difference Quotient
- differences
- differentiability
- Differentiable
- differential equations
- differentials
- differentiation
- direct substitution
- discontinuity
- discontinuity calculus
- discontinuity limits
- Discontinuous
- disk method
- disk method around non axis
- disk method around x axis
- disk method around y axis
- disk method calculus
- displacement
- displacement time graph
- distance
- distance time graph
- divergence
- divergent
- domain
- domain and range
- domain and range of a function
- domain and range of a graph
- domain and range of a quadratic function
- domain and range of exponential functions
- domain and range of logarithmic functions
- domain and range of rational functions
- domain and range of trigonometric functions
- dot plots
- double angle formulas
- double angle identities
- Dr.
- du/dx
- DV
- dx
- dy
- dy/dx
- e^2x
- e^3x
- e^cos(2x)
- e^sinx
- e^x cosx
- e^x sinx
- e^x^2
- E2
- economics
- eliminating parameter
- eliminating the parameter
- elimination
- Ellipse
- end behavior
- Energy
- equation
- equation of normal line
- equation of tangent line
- equations
- equilateral triangle
- error bound
- error bound midpoint rule
- error bound simpson's rule
- error bound trapezoidal rule
- estimate
- EU
- euler's method
- euler's method calculus
- euler's method differential equations
- euler's method example
- euler's method numerical methods
- ex
- example
- examples
- explained
- exponential
- Exponential Function
- exponential functions
- exponential growth and decay
- exponential growth and decay calculus
- exponential growth and decay differential equations
- exponential growth and decay word problems
- Extrema
- extreme value theorem
- extreme values
- f f' f'' calculus
- f f' f'' graphs
- f^-1(x)
- f(a)
- f(g(x))
- f(y)
- factor
- factoring
- factoring perfect square trinomials
- factoring the gcf
- fence problems cost
- find c
- find c value
- find the equation of the tangent line at a point
- find the slope of the tangent line to the curve
- finding inflection points
- first derivative
- First Derivative Test
- First Order Differential Equations
- first order partial derivatives
- formula
- fraction
- fractions
- frequency distribution table
- frequency tables
- from the left
- from the right
- FTC
- function
- functions
- fundamental theorem
- Fundamental Theorem Of Calculus
- fundamental theorem of calculus examples
- fundamental theorem of calculus explained
- fundamental theorem of calculus part 1
- fundamental theorem of calculus part 2
- fx
- g(x)
- g(y)
- general equation
- General Solution
- given point
- graph
- graphical method
- graphing
- graphing derivatives
- graphing exponential functions
- graphing functions
- graphing functions using derivatives
- graphing inequalities
- Graphing Linear Equations
- graphing logarithmic functions
- graphing parabolas
- graphing parametric equations
- graphing plane curves
- graphing polar equations
- graphing quadratic functions
- graphing rational functions
- graphing sine and cosine functions
- graphing trignometric functions
- graphs
- greatest integer function
- greatest integer function calculus
- greatest integer function continuity
- greatest integer function examples
- greatest integer function explained
- greatest integer function graph
- greatest integer function limits
- greatest integer function limits problems
- greatest integer function problems
- h(x)
- head to tail
- head to tail method
- height
- higher order partial derivatives
- Histograms
- hole
- horizontal and vertical component
- horizontal asymptotes
- Horizontal Line
- horizontal tangent line
- horizontal tangent line calculus
- how to evaluate the limit of rational functions
- how to find angle
- hypotenuse
- Identities
- Implicit Differentiation
- implicit differentiation calculus
- implicit differentiation examples
- implicit differentiation second derivative
- implicit differentiation trig functions
- Improper Integrals
- improper integrals convergence and divergence
- increasing
- increasing and decreasing functions
- increasing and decreasing intervals
- increasing function
- indefinite integral
- indefinite integral calculus
- indefinite integral fraction
- indefinite integral square root
- indefinite integrals
- Indeterminate
- indeterminate forms
- Inequalities
- infinite discontinuity
- infinite limits
- infinite limits and asymptotes
- infinite limits and limits at infinity
- infinite limits and vertical asymptotes
- infinite limits calculus
- infinite limits examples
- infinite limits of integration
- infinite limits with radicals
- infinite limits with square roots
- infinity
- inflection points
- inflection points and concavity
- inflection points on a graph
- Initial Condition
- instantaneous acceleration
- instantaneous rate of change
- instantaneous rate of change calculus
- instantaneous rate of change of a function
- instantaneous velocity
- integral
- integrate
- integrating
- integrating by substitution
- integrating exponential functions
- integrating ln
- integrating logarithmic function
- integrating natural logarithms
- integrating natural logs
- Integration
- integration by partial fractions
- Integration By Parts
- integration by parts e^x sinx
- integration by parts lnx
- integration by parts twice
- integration by parts x^2 sinx
- integration by parts x^3 lnx
- integration by parts xe^x
- Integration By Substitution
- integration long division
- integration natural log
- integration of logarithmic functions
- integration of natural log functions
- integration techniques
- intermediate value theorem
- intermediate value theorem calculus
- intermediate value theorem explained
- intermediate value theorem for polynomials
- intermediate value theorem roots
- intermediate value theorem to find zeros
- interquartile range
- intersection
- interval
- Interval Notation
- intervals
- Introduction
- introduction to limits
- introduction to limits calculus
- inverse
- inverse cos x^2
- Inverse Function
- inverse functions
- inverse sec (1+x^2)
- inverse secx
- inverse sin 2x
- inverse tan (x/2)
- inverse trig
- inverse trig functions
- Inverse Trigonometric Functions
- isosceles right triangle
- ivt
- ivt theorem
- jump discontinuity
- L'hopital's rule
- l'hopital's rule indeterminate forms
- l'hopital's rule infinity
- l'hopital's rule limits
- L'hospital's rule
- L(x)
- ladder angle
- ladder problem
- left and right
- left endpoints
- limit
- limit process
- limits
- Limits and Continuity
- limits and derivatives
- limits at infinity
- limits at infinity with radicals
- limits basic introduction
- limits calculus
- limits direct substitution
- limits introduction
- limits numerically
- limits of integration
- limits of trigonometric functions
- limits review
- line
- linear
- linear approximation
- linear approximation and differentials
- linear approximation formula
- linear equations
- linear factors
- linear functions
- Linearization
- linearization formula
- ln
- ln(2x)
- ln(cosx)
- ln(ln(lnx))
- ln(lnx)
- ln(sinx)
- ln(x+1)
- lnx
- lnx/x
- local
- Local Extrema
- local max and min calculus
- local maximum and minimum
- local min and max
- local minimum and maximum calculus
- log(1-x)
- log(2x)
- log(x^2)
- logarithmic
- logarithmic differentiation
- logarithmic differentiation examples
- logarithmic differentiation rules
- logarithmic differentiation with exponentials
- logarithmic functions
- logarithms
- Logistic Equation
- logistic function
- logistic growth
- logistic growth differential equations
- logistic growth equation
- logistic growth formula
- logistic growth function
- logistic growth model
- logistic growth model of a population
- logistic growth problem
- logs
- long division
- lower bound
- m/s
- m/s^2
- magnitude and direction
- marginal cost
- marginal profit
- marginal revenue
- marginal revenue and marginal cost
- marginal revenue calculus
- Maths
- Max
- maxima
- maximizing profit
- maximum
- maximum profit
- Mean
- Mean Value Theorem
- mean value theorem and rolle's theorem
- mean value theorem calculus
- mean value theorem examples
- mean value theorem for derivatives
- median
- midpoint
- midpoint rule
- min
- minima
- minimize
- minimum
- minimum average cost
- minimum distance
- mixed partial derivatives
- MODE
- monomials
- motion
- moving to the left
- moving to the right
- multivariable calculus
- natural log
- natural logarithms
- natural logs
- negative velocity
- net change
- net change theorem
- newton's law of cooling
- newton's law of cooling calculus
- newton's law of cooling differential equations
- newton's law of cooling example
- newton's law of cooling problems
- newtons law
- nonremovable discontinuity
- Normal Line
- normal line and tangent line
- norman window
- Number
- number line
- Numerical Integration
- numerical integration trapezoidal rule
- numerical methods
- Object
- of e
- one sided limits
- one sided limits absolute value
- one sided limits calculus
- online graphing calculator
- open box
- open interval
- optimization
- optimization calculus
- optimization cylinder
- optimization fence problem
- optimization minimum distance
- optimization norman window
- optimization volume of a box
- organic chemistry tutor
- outliers
- over an interval
- Overview
- parabolic functions
- parallel and perpendicular lines
- parameter t
- Parametric Equations
- parametric equations calculus
- parametric equations eliminating parameter t
- parametric equations ellipse
- parametric equations introduction
- parametric equations precalculus
- parent functions
- parent functions algebra 2
- parent functions and their graphs
- parent functions and transformations
- parent functions domain and range
- parent functions precalculus
- part 1
- part 2
- Partial Derivatives
- partial derivatives calculus 3
- partial derivatives of a function of two variables
- partial derivatives quotient rule
- Partial Fraction Decomposition
- partial fraction integration
- Partial Fractions
- particle
- particle motion
- Particular Solution
- Patreon
- patreon channel
- patreon review
- patreon rewards
- patreon rewards tutorial
- patreon tutorial
- patreon tutorial video
- patreon video
- percentile
- perfect square trinomials
- Perimeter
- permutations
- perpendicular to x-axis
- perpendicular to y-axis
- physics
- piecewise
- piecewise function
- Piecewise Functions
- piecewise functions absolute value
- piecewise functions calculus
- piecewise functions continuity
- piecewise functions domain and range
- piecewise functions graphing
- piecewise functions limits
- plane curves
- point
- point discontinuity
- point slope form
- points
- points of discontinuity
- polynomial
- polynomial function
- polynomial functions
- polynomials
- population growth
- position
- position time graph
- position time graph physics
- position time graph to velocity time graph
- position velocity and acceleration
- Power
- power reducing formulas
- Power Rule
- powers
- practice
- practice problems
- Precalculus
- Price
- price function
- price function calculus
- problems
- product
- Product Rule
- product rule f(x)g(x)h(x)
- product to sum
- production level
- profit
- proof
- properties of definite integrals
- properties of definite integrals examples
- PROPERTIES OF INTEGRALS
- prove
- quadratic
- quadratic factors
- Quadratic Functions
- quartiles
- Quotient Rule
- radical
- radical functions
- radicals
- radius
- range
- Rate of Change
- rate of change of water
- rates of change
- rational
- rational function
- rational functions
- Rectangle
- rectangles
- Related Rates
- related rates calculus
- related rates problems
- relative
- Relative Extrema
- relative extrema of a function
- relative frequency
- relative growth rate
- relative growth rate calculus
- relative maximum and minimum
- removable discontinuity
- removable discontinuity calculus
- respect to x
- respect to y
- rest
- resultant
- revenue
- review
- rewards
- Riemann Sum
- riemann sum calculus
- riemann sum midpoint
- riemann sum sigma notation
- riemann sums and definite integral
- right endpoints
- rise over run
- Rolle's Theorem
- rolle's theorem and the mean value theorem
- rolle's theorem calculus
- rolle's theorem examples
- rolle's theorem explained
- roots
- Rules
- scalar
- scalar multiplication
- Scalars
- SEC
- sec^-1 (1+x^2)
- sec^3x
- sec(x^2)
- secant
- secant line
- second derivative
- second order partial derivatives
- second partial derivatives
- secx
- secxtanx
- semicircles
- Separation of variables
- separation of variables differential equations
- shaded region
- shadow problem
- shell method
- shell method around non axis
- shell method calculus
- shell method x axis
- shell method y axis
- ship problem
- sigma notation
- sigma notation calculus
- Sign
- sign chart
- sign conventions
- similar triangles
- Simpson's Rule
- simpson's rule error
- simpson's rule numerical method
- sin
- sin x
- sin^-1 (2x)
- sin^2(3x)
- sin^2x
- sin^3x
- sin^4x
- sin^5x
- sin(x+y)
- sine
- sine and cosine
- sinx
- sinx/x
- siny
- sketching derivatives
- sketching derivatives from parent function
- skewed left
- skewed right
- skewness
- Slope
- slope of normal line
- slope of tangent line
- Slope-Intercept Form
- slowing down
- snowball
- speed
- speeding up
- Sphere
- spherical balloon
- spotlight
- sqrt(x)
- sqrt(y)
- Square
- Square Root
- square root functions
- square roots
- Squeeze Theorem
- squeeze theorem calculus
- squeeze theorem calculus examples
- squeeze theorem definition
- squeeze theorem examples
- squeeze theorem explained
- squeeze theorem inequalities
- squeeze theorem limits
- squeeze theorem trig functions
- squeeze theorem with cos
- squeeze theorem with sin
- statistics
- stem and leaf plots
- Steps
- subintervals
- substitution
- sum
- summary of curve sketching
- supply
- surface area
- surface area by integration
- surface area calculus
- surface area example
- surface area explained
- surface area formula
- surface area integral
- surface area of revolution
- System of Equations
- table
- tan
- tan^-1 (x/2)
- tan^2x
- tan^3x
- tan^4x
- tan(sin4x)
- Tangent
- Tangent Line
- tangent line approximation
- tangent line problem
- tanx
- techniques
- techniques of integration
- third order partial derivatives
- three variables
- time
- time graph
- to find zeros
- total cost
- total distance
- transformations
- trapezoidal
- Trapezoidal Rule
- trapezoidal rule error bound
- trapezoidal rule numerical method
- triangle
- triangles
- trig
- trig functions
- trig identities
- trig integrals
- trig substitution
- trigonometric
- Trigonometric Functions
- trigonometric identities
- trigonometric integrals
- trigonometric integrals even powers
- Trigonometric Substitution
- trigonometric substitution completing the square
- trigonometric substitution definite integral
- Trigonometry
- Trinomials
- trough
- tutorial
- tutorial video
- Two Variables
- u-substitution
- u-substitution definite integral
- u-substitution indefinite integral
- u-substitution integration
- u-subtitution
- units
- upper bound
- vector notation
- Vectors
- vectors basics
- vectors calculus
- vectors explained
- vectors maths
- vectors physics
- vectors precalculus
- vectors review
- vectors trigonometry
- Velocity
- velocity time graph
- velocity time graph physics
- velocity time graph to acceleration time graph
- vertical asymptotes
- video
- volume
- volume flow rate
- volume of a sphere
- volume of revolution
- volume of revolution about y axis
- volume of revolution shell method
- volumes of revolution
- volumes of revolution shell method
- volumes using cross sections
- volumes using cross sections calculus
- washer method
- washer method around y axis
- washer method calculus
- washer method rotating around non axis
- washer method y axis
- water trough
- weight
- with 3 components
- with i and j
- with two functions
- Word Problems
- x axis
- x e^2x
- x^2
- x^2 e^x
- x^2 lnx
- x^2 sinx
- x^2e^x
- x^2lnx
- x^3 lnx
- x^4 sinx
- x^lnx
- x^sinx
- x^x
- x^x^x
- xcosx
- xe^x
- y axis