An Introduction to the Chain Rule (4.3.1)

Question 1

• A composite function is made up of layers of functions inside of functions. Some techniques of differentiation become very cumbersome when applied to composite functions.

Answer 1

• A composite function is made up of layers of functions inside of functions. Some techniques of differentiation become very cumbersome when applied to composite functions.

Question 2

• The chain rule states that if f(x) = g(h(x)), where g and h are differentiable functions, then f is differentiable and f’(x)=g’(h(x)) * h’(x).

Answer 2

• The chain rule states that if f(x) = g(h(x)), where g and h are differentiable functions, then f is differentiable and f’(x)=g’(h(x)) * h’(x).