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Question

1. Find the derivative of the given function.

 y=x(arcsinx)^2 + 2(1-x^2)^1/2 arcsin x-2x

 

2. y=(csc4x+cot4x)^1/2

 

3. y=sin(arcanx)

Answer 1

Step 1:

(2)

The function is .

Rewrite the function as .

Apply derivative on each side with respect to .

.

Solution:

.

Answer 2

Step 1:

(3)

The function is

Apply derivative on each side with respect to .

.

Solution:

.

Answer 3

Step 1:

(1)

The function is .

Apply derivative on each side with respect to .

 .

Solution:

.