(1)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Use the product rule of derivatives : .

Now use the power rule of derivatives : .

Use the sum and difference rule of derivatives : .

.

Step 2:

Use the derivative of constant : .

Solution :

The derivative of the function is .

(2)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Use the quotient rule of derivatives : .

Use the sum and difference rule of derivatives : .

Derivative of constant : and derivative of tangent function is .

Solution :

The derivative of the function is .

(3)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Now use the power rule of derivatives : .

Use the sum and difference rule of derivatives : .

Use the derivative of constant : and

derivative of cosine function is .

Solution :

The derivative of the function is .