# Calculus Tutorial Playlist

## Calculus Tutorial Playlist

293 Lessons
(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