Find the derivative of the function

Recall that the derivative of y with respect  to is denoted as or .

 For the given equation: ,

we may apply the basic property of derivative:

 where we take the derivative of each term separately.

Then the derivative of y will be:

To find the derivative of the first term: , recall the basic derivative...

Recall that the derivative of y with respect  to is denoted as or .

 For the given equation: ,

we may apply the basic property of derivative:

 where we take the derivative of each term separately.

Then the derivative of y will be:

To find the derivative of the first term: , recall the basic derivative formula for inverse tangent as:

With and or , we will have:

For the derivative of the second term: , we apply the

Quotient Rule for derivative: .

Based from , we let:

then

then

Applying the Quotient rule,we get:

Combining like terms at the top:

For the complete problem: