1. 136.150: Test #5

20 minutes

Name:_____________________ Student Number: _______

 

[8] 1. Find the inverse of the function .

First we solve for x in terms of y: .

The inverse function is , or, (with x as the variable)

 

 

[9] 2.  (a) Differentiate .

(b) Evaluate .

.

(b) .

 

[8] 3. Differentiate .

Set . Then and so . We now differentiate: . There by .