Question

Find the differential of each function.

Answer 1

Step 1:

(a)

The function is .

Apply derivative on each side with respect to .

The chain rule of derivative : .

                                                               ( Since )

The power rule : .

.

Step 2:

(b)

The function is .

Apply derivative on each side with respect to .

                 ( since )

                                     ( Since )

.

Solution :

(a) .

(b) .