Chain Rule Summary

The Chain Rule

Summary

with some functions and expressions, differentiation is a long process. e.g. having to expand five sets of brackets before differentiating.

the chain rule speeds up this procedure by writing a function to be differentiated, as a function of a function or a composite function f o g.

the chain rule can be used in functional notation or in notation.

Key Skills

differentiate composite functions such as f(x) = (3x − 5)4using the chain rule.

 

Vocabulary

function of a function, composite function, chain rule