# New Calculus Video Playlist

## New Calculus Video Playlist

250 Lessons
3 step continuity test 30 60 90 reference triangles 68-95-99.7 rule about x axis about y axis Absolute Extrema Absolute Maximum absolute maximum and minimum Absolute Minimum Absolute Value absolute value expressions absolute value functions absolute value theorem absolute value theorem for sequences acceleration adding functions airplane airplane problems algebra algebra 2 amplitude amplitude and period angle angle of elevation Antiderivative antiderivatives antiderivatives of exponential functions application of derivatives Arc Length arc length calculus arc length examples arc length formula arc length integration arccos arcsin arcsin arccos arctan arctan area area between two curves area of a circle area of a triangle area of the shaded region area under the curve around non axis Asymptotes average cost Average Rate of Change average total cost average value average value of a function average value theorem average value theorem for integrals average velocity axis of symmetry Back to School balloon base baseball baseball diamond problem baseball problem Basic basic integration basic integration rules basic introduction bell shaped curve bernoulli's equation Bernoulli's equation for differential equations bounded above bounded below bounded sequences Calculus calculus 1 calculus 1 limits calculus 1 review calculus 2 calculus basic introduction calculus continuity and discontinuity calculus derivatives calculus introduction calculus limits calculus limits and continuity calculus limits explained calculus limits review calculus review Center of Mass centroid 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 for derivatives chain rule with trig functions Change Of Variables circle circles circumference circumference of a circle common geometric figures Completing the Square complex fraction complex fractions Composite composite functions composition Composition of Functions compound interest formula compound interest problems compounded continuously concave down concave up concavity condensing logarithmic expressions cone conical tank constant constant c constant multiple rule constant rule Constants constraint continuity continuity and differentiability continuity basic introduction continuity calculus continuity introduction continuity of a function continuity test Continuous continuous random variable convergence convergence and divergence of a sequence convergence and divergence of sequences convergent converging and diverging sequences cos^3x Cosine cosine function cosine functions cost critical numbers Critical Point cross sectional volume cross sections cross sections calculus cross sections of solid cube cube root cube root functions cube roots cubic curve sketching cusps cylindrical shells cylindrical shells about x axis cylindrical shells about y axis cylindrical shells calculus d^2y/dx^2 data table data tables decreasing decreasing functions definite integral definite integral formula definite integrals definition of the derivative degree demand function derivative of cube root functions derivative of logarithmic functions derivative of sine and cosine functions derivative of square root functions Derivatives derivatives of exponential functions derivatives of inverse functions derivatives of inverse trigonometric functions derivatives of natural log functions derivatives of natural logarithmic functions derivatives of polynomial functions derivatives of radical functions derivatives of rational functions derivatives of trigonometric functions determine if function is even odd or neither determine whether f is even odd or neither diagonal length diagonal length of a cube Difference Quotient 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 distance distance problem divergence divergent dividing functions domain domain and range domain and range of a function domain and range of a graph domain and range of rational functions domain of square root functions dy/dx end behavior Energy equation equation of the tangent line equilateral triangle estimating function values evaluating evaluating composite functions evaluating composite inverse trigonometric functions evaluating definite integrals evaluating definite integrals using geometry evaluating exponential expressions evaluating functions evaluating inverse trig functions evaluating inverse trigonometric functions evaluating limits evaluating limits by factoring evaluating limits with fractions evaluating limits with square roots evaluating logarithmic expressions evaluating natural logarithmic expressions evaluating piecewise functions Even even and odd functions even functions even odd functions even odd or neither functions even odd or neither functions algebraically even odd or neither functions graphs even odd properties even or odd functions even powers example examples expanding logarithmic expressions explained exponential distribution function exponential equations exponential expressions exponential functions exponential growth and decay extreme value theorem factored form factoring factoring by grouping factoring perfect square trinomials factoring the gcf factoring trinomials fence problem find the sum using summation formulas finding critical numbers finding particular solutions to differential equations finding the area using the limit definition finding the limit of a sequence finding the linearization of a function finding the sum of a finite geometric series finding the sum of an infinite geometric series finding zeros finite geometric series finite sum first derivative First Derivative Test First Order Differential Equations first order homogeneous differential equations first order linear differential equations fluid force formula formulas fractions from the left from the right function function operations function values functions functions and graphs fundamental theorem Fundamental Theorem Of Calculus fundamental theorem of calculus part 1 fundamental theorem of calculus part 2 General Solution geometric figures geometric sequence Geometric Series geometry graph graphing graphing absolute value functions graphing cotangent functions graphing exponential functions graphing exponential functions using transformations graphing functions graphing functions using transformations graphing horizontal and vertical lines graphing inverse functions graphing inverse trig functions graphing inverse trigonometric functions Graphing Linear Equations graphing linear equations in slope intercept form graphing linear equations using x and y intercepts graphing logarithmic functions graphing logarithmic functions using transformations graphing piecewise functions graphing polynomial functions graphing quadratic functions graphing quadratic functions using a data table graphing radical functions graphing radical functions and domain and range graphing radical functions using transformations graphing rational functions graphing rational functions using transformations graphing rational functions with asymptotes graphing rational functions with vertical and horizontal asymptotes graphing sine and cosine functions graphing sine and cosine functions with transformations graphing sine functions graphing tangent and cotangent functions graphing tangent functions graphing tangent functions with phase shift graphing trigonometric functions graphs gravel being dumped 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 half life problems height higher degree higher order derivatives hole holes homogeneous differential equations Hooke's law horizontal asymptotes horizontal line test horizontal shifts horizontal stretches horizontal tangent lines how to evaluate limits how to evaluate limits from a graph how to evaluate logarithmic expressions how to evaluate logarithmic expressions without a calculator how to evaluate the limit of rational functions how to find the derivative of a function how to find the domain of a function how to find the equation of the tangent line how to find the inverse function how to find the limit at infinity how to find the second derivative of a function how to graph absolute value functions how to graph exponential functions how to graph inverse trig functions how to graph logarithmic functions how to graph piecewise functions how to graph sine and cosine functions how to graph sine and cosine functions with phase shifts how to graph tangent and cotangent functions how to graph tangent and cotangent functions with transformations how to graph tangent functions how to graph tangent functions with transformations how to integrate using u-substitution how to solve logarithmic equations hydrostatic force hypotenuse Implicit Differentiation Improper Integrals improper integrals convergence and divergence increasing increasing and decreasing functions increasing functions indefinite integral indefinite integrals indefinite integration indeterminate forms Inequalities infinite discontinuity infinite geometric series 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 infinite series infinity inflated balloon inflection points initial conditions Initial Value Problem initial velocity instantaneous rate of change instantaneous velocity integral integral of cos^3x integral of sin^2x integral of sin^4x integrals integrating integrating by substitution integrating exponential functions Integrating Factor integrating inverse trig functions integrating ln integrating logarithmic function integrating natural logarithms integrating natural logs integrating using u-substitution Integration integration by partial fractions Integration By Parts Integration By Substitution integration by tables integration formulas integration long division integration natural log integration of inverse trigonometric functions integration of logarithmic functions integration of natural log functions integration techniques intermediate value theorem Interval Notation Introduction introduction to limits introduction to limits calculus introduction to related rates inverse cosine inverse cosine function inverse functions inverse sine inverse sine cosine and tangent functions inverse sine function inverse tangent inverse tangent function inverse trig inverse trig functions Inverse Trigonometric Functions inverses inverted conical tank isosceles right triangle jump discontinuity L'hopital's rule ladder problem leading coefficient leading term left endpoints limit limit definition limits limits and absolute value Limits and Continuity limits and derivatives limits at infinity limits basic introduction limits calculus limits direct substitution limits introduction limits involving absolute value limits numerically limits of integration limits of trigonometric functions limits review linear linear approximation Linear Differential Equations linear equations linear factors linear functions Linearization ln local linear approximation local linearization Local Maximum local maximum and minimum Local Minimum logarithmic differentiation logarithmic equations logarithmic expressions logarithmic form to exponential form logarithmic functions logarithms logs lower bound lower sum marginal cost marginal profit marginal revenue matching slope fields maximum height Mean Mean Value Theorem mean value theorem for integrals melting snowball midpoint rule Moment moment about the origin moment about the x-axis moment about the y-axis Monotonic monotonic sequences multiple choice multiplicity multiplying functions Multivariable Functions natural base e natural log natural log functions natural logarithmic expressions natural logarithmic functions natural logarithms natural logs net change net change theorem newton's method nonremovable discontinuities nonremovable discontinuity normal distribution normal distribution probability normal distribution problems number line Numerical Integration objective function odd odd functions one sided limits one sided limits calculus one to one functions one-dimensional system operation with functions optimization optimization calculus optimization problems over approximation Parallel lines parent functions part 1 Partial Fraction Decomposition Partial Fractions partial sums particular solutions perfect square trinomials period perpendicular lines perpendicular to x-axis perpendicular to y-axis phase shift piecewise function Piecewise Functions piecewise functions calculus piecewise functions continuity piecewise functions limits planar lamina plane plane surface point discontinuity point slope form points of discontinuity polynomial functions polynomial functions end behavior polynomial functions finding zeros polynomial functions multiplicity population mean position function Power Power Rule power rule for integration practice practice problems Precalculus price function probability probability density probability density function probability density functions problem problems Product Rule product rule for derivatives production level profit Projectile Motion properties properties of definite integrals properties of definite integrals examples PROPERTIES OF INTEGRALS properties of limits properties of logarithmic functions properties of logarithms proportions pumping water Pythagorean Theorem quadratic quadratic factors Quadratic Formula Quadratic Functions Quotient Rule quotient rule for derivatives radical functions radicals range Rate of Change rate of change of water rates of change rational function rational functions rectangles rectilinear motion reduction formulas reflection about the origin reflection about the x-axis reflection about the y-axis Related Rates Relative Extrema Relative Maximum relative maximum and minimum Relative Minimum removable discontinuity removable discontinuity calculus respect to x respect to y revenue riemann sums right endpoints right triangle right triangle trigonometry right triangles Rolle's Theorem rope sales function secant secant line second derivative Second Derivative Test second derivatives semicircle semicircles Separation of variables Sequences shadow shadow problem shell method shell method around non axis shell method calculus shell method x axis shell method y axis sigma notation sign chart sign charts similar triangles simplifying simplifying composite inverse trigonometric functions simplifying derivatives Simpson's Rule sin^2x sin^4x sine sine and cosine sine function Slope slope and y intercept of an equation slope fields slope of a line passing through two points Slope-Intercept Form snowball solution curves Solving Differential Equations solving exponential equations solving exponential equations using logarithms solving exponential equations using natural logarithms solving exponential equations with different bases solving exponential equations with e solving logarithmic equations solving logarithmic equations with logs on both sides special integration formulas speed Sphere spring constant Springs 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 for sequences squeeze theorem inequalities squeeze theorem limits squeeze theorem trig functions squeeze theorem with cos squeeze theorem with sin standard deviation standard form substitution subtracting functions sum summation formulas summation notation surface area surface area by integration surface area calculus surface area example surface area explained surface area formula surface area integral surface area of a cube surface area of a sphere surface area of revolution symmetry synthetic division tables Tabular method Tangent Tangent Line tangent line approximation tangent line equation tangent lines the constant rule the constant rule for derivatives the power rule for derivatives total cost transformations transformations of functions trapezoid Trapezoidal Rule triangle triangles trig functions trig substitution Trigonometric Functions trigonometric integrals Trigonometric Substitution Trigonometry turning points tutorial two-dimensional system u-substitution under approximation upper bound upper sum Velocity velocity function verifying inverse functions vertex vertex form vertical asymptote vertical asymptotes Vertical Line Test vertical motion Vertical Shift vertical shifts vertical stretching vertical stretching and shrinking vertical tangents video volume volume flow rate volume of a cone volume of a cube 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 with two functions without a calculator Word Problems work done by a constant force work done by a variable force work problems work required to lift an object writing linear equations writing linear equations given two points x axis x intercepts y axis