1 2 3 4 5 6 7 8 9 10 In Section 2 5 we learned the Chain

Last updated: 12/21/2022

1 2 3 4 5 6 7 8 9 10 In Section 2 5 we learned the Chain Rule and how it can be applied to find the derivative of a composite function In particular if u is a differentiable function of x and fis a differentiable function of u x then d dx u x f u x u x In words we say that the derivative of a composite function c x f u x where f is considered the outer function and u the inner function is the derivative of the outer function evaluated at the inner function times the derivative of the inner function a For each of the following functions use the Chain Rule to find the function s derivative Be sure to label each derivative by name e g the derivative of g x should be labeled g x i g x e x ii h x sin 5x 1 iv g x 2 7x 4