..Find the derivative of each of the following:

Question

help.Find the derivative of each of the following:

Answer 1

Step 1:

(7)

The function is .

Apply derivative on each side with respect to .

Use constant multiple rule of derivative : .

Derivative of exponential function :.

Use chain rule of derivative : .

.

Solution :

The derivative of the function is .

Answer 2

Step 1:

(8)

The function is .

Apply derivative on each side with respect to .

Derivative of logarithmic function : .

Use chain rule of derivative : .

.

Solution :

The derivative of the function is .

Answer 3

Step 1:

(9)

The function is .

Apply derivative on each side with respect to .

Use quotient rule of derivative : .

Use constant multiple and power rule of derivative : .

.

Solution :

The derivative of the function is .