Differentiability at a point: graphical

Analyze graphs of functions to determine where they are not differentiable.

Differentiating linear functions

Analyze solutions for finding the derivatives of linear functions using basic differentiation rules.

Basic differentiation rules

Use basic differentiation rules to evaluate derivatives of combined functions.

Differentiability at a point: algebraic

Analyze algebraic functions to determine whether they are continuous and/or differentiable at a given point.

Polynomial functions differentiation

Find and evaluate derivatives of polynomials.

Fractional powers differentiation

Find and evaluate the derivatives of functions that contain x raised to a fractional power, like 4⋅x^⅔.

Negative powers differentiation

Find and evaluate the derivatives of functions that can be written as a sum of integer powers of x.

Tangents of polynomials

Find equations of tangent lines to polynomial functions at a given point.

Radical functions differentiation intro

Find and evaluate the derivatives of functions that contain a radical expression with a single term within the radical, like 5⋅∜x³.

Sine & cosine differentiation

Find the derivatives of functions that contain sin(x) or cos(x). For example, differentiate f(x)=2x+3sin(x).

Differentiate products

Find the derivatives of products of basic functions.

Differentiate composite functions

Find derivatives of functions that are the composition of two (more basic) functions using the chain rule.

Differentiate quotients

Find the derivatives of quotients of basic functions.

Product rule

Practice applying the product rule.

Chain rule

Practice applying the chain rule.

Quotient rule

Practice applying the quotient rule.

Trig functions differentiation intro

Find and evaluate derivatives of tangent, cotangent, secant, & cosecant.

Exponential functions differentiation intro

Find the derivatives of simple exponential functions. For example, differentiate f(x)=3⋅2ˣ.

Logarithmic functions differentiation intro

Find the derivatives of functions that contain a logarithm of x. For example, differentiate f(x)=5⋅log(x).

Radical functions differentiation

Find and evaluate derivatives of radical functions. For example, for f(x)=∛(x²+3x+4), find f'(1).
