Derivatives

This course is a part of Differential Calculus, a 6-course Topic series from Khan Academy.

The chain rule tells us how to find the derivative of a composite function. This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate. Also learn how to use all the different derivative rules together in a thoughtful and strategic manner.

This course contains 12 segments:

Chain rule

More chain rule practice

Implicit differentiation

Implicit differentiation (advanced examples)

Tackle some more advanced problems of implicit differentiation. For example, find dy/dx for e^(xy²)=x-y.

Differentiating inverse functions

Derivatives of inverse trigonometric functions

Strategy in differentiating functions

Differentiation using multiple rules

Second derivatives

Disguised derivatives

Equipped with knowledge about the derivatives of all common functions, evaluate some limits that represent various derivatives.

Logarithmic differentiation

In logarithmic differentiation, we find the derivative of the natural log of a function instead of the derivative of the function itself. It may surprise you, but this can sometimes actually be easier than regular differentiation, if not the only available option. For example, finding the derivative of xˣ.

Proof videos