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Calculus

Calculate derivatives

Find derivatives of sine and cosine functionsFind derivatives of other trigonometric functionsFind derivatives of exponential functionsFind derivatives of logarithmic functionsFind derivatives of inverse trigonometric functionsFind derivatives using the product rule IFind derivatives using the quotient rule IFind derivatives using the chain rule I
Find derivatives of radical functionsFind derivatives using the chain rule IIFind derivatives of trigonometric functions using the product and quotient rulesFind derivatives of rational functionsFind derivatives of using multiple formulaeFind derivatives using the product rule IIFind derivatives using the quotient rule IIFind derivatives of polynomials

Derivative rules

Power rule IPower rule IISum and difference rules
Product ruleQuotient rule

Calculate limits

Find limits of polynomials and rational functionsFind limits involving trigonometric functionsFind limits involving absolute value functions
Find limits involving factorization and rationalizationFind limits using power and root laws

Limits at infinity

Determine end behavior of polynomial and rational functions

Continuity

Intermediate Value Theorem
Determine the continuity of a piecewise function at a point

Differential equations

Euler's method

Calculate higher derivatives

Find higher derivatives of rational and radical functionsFind second derivatives of trigonometric, exponential, and logarithmic functionsFind higher derivatives of exponential and trigonometric functions
Find higher derivatives of logarithmic and power functionsFind higher derivatives of polynomials

Linear approximation

Linear approximation

Antiderivatives and indefinite integrals

Find indefinite integrals using the substitutionFind indefinite integrals using the substitution and by partsGaussian integral
Find indefinite integrals using the power rule (Level 2)Find indefinite integrals using the power rule

Definite integrals

Evaluate definite integrals using the power rule
Evaluate definite integrals using the chain rule

Introduction to derivatives

Find equations of tangent lines using limitsFind values of derivatives using limitsFind instantaneous rates of change
Find the slope of a tangent line using limitsVelocity as a rate of changeAverage rate of change I

Review process

Find derivatives using logarithmic differentiationFind derivatives using implicit differentiation
Find tangent lines using implicit differentiation

Rates of change

Relate position, velocity, speed, and acceleration using derivatives

Application of derivative

Find the rate of change of one variable when rate of change of other variable is given

Infinite limits

Find the limit at a vertical asymptote of a rational function II
Find the limit at a vertical asymptote of a rational function I

Analyze functions using the first derivative

Relative maxima or minima