help-Derivatives?

Question

Answer 1

(1)

Step 1:

The function .

Derivative of is defined as .

.

The derivative of the given function

Therefore derivative of is .

Solution :

.

Answer 2

2)

The function .

Derivative of is defined as  .

The derivative of the given function

Therefore, the derivative of is .

Answer 3

Step 1 :

The function is .

Derivative of is defined as  .

The derivative of the given function is

Therefore derivative of is .

Solution :

.

Answer 4

(4)

Step 1:

The function is .

Derivative of is defined as  .

.

The derivative of the given function

Therefore derivative of is .

Solution :

.

Answer 5

(5)

Step 1:

The function .

Derivative of is defined as  .

The derivative of the given function

Multiply and divide with on each side.

Therefore derivative of is .

Solution :

.