Chain rule

From Conservapedia
Jump to: navigation, search
This article/section deals with mathematical concepts appropriate for late high school or early college.

The chain rule in calculus is a formula for determining the derivative of a composite function:

The chain rule can also be expressed as:

The chain rule can also be applied to multivariable functions. The derivative of a multivariable function is expressed as follows:

or in vector notation:

where r is the vector function

The function r is sometimes called the path of the particle.

Sometimes it might be helpful to change variables into a more convenient form before differentiating.