Find the derivative of the function

The derivative of y in terms of x is denoted by   or .

 For the given problem: , we apply the basic derivative property:

.

Then,

Apply the basic differentiation property:

For the derivative of , we apply the Product Rule: .

Let then

    then

Note:

Applying the chain rule of derivative:

                     

                     or - 

 Following the Product Rule, we set-up the derivative as:

 Express as one fraction:

Then,

For the derivative of , we apply the basic derivative property: .

Apply the basic derivative formula for inverse sine function: .

Let then

                    

                    

                     

                    

                  

                  

                  

Combining the results, we get:

or

Applying Law of Exponents:   :

Final answer:

 or