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Question

Answer 1

(7)

Step 1 :

The function is .

Differentiate with respect to .

.

Derivative of exponential function :  .

Power rule of derivative : .

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Solution :

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Answer 2

(8)

Step 1 :

The function is .

Differentiate with respect to on each side.

.

Exponential rule of derivative : .

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Solution :

.

Answer 3

(9)

Step 1 :

The function is  .

Differentiate on each side with respect to .

Derivative of logarithm function : .

Sum rule of derivative : .

Derivative of exponential function :  .

Power rule of derivative : .

.

Solution :

.

Answer 4

(10)

Step 1 :

The function is  .

Differentiate on each side with respect to .

.

Product rule of derivative : .

Power rule of derivative : .

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Solution :

.