Differentiate with respect to

Let and.

We need to differentiate u with respect to v that is find.

We have

By substituting ax = tan θ, we have

On differentiating u with respect to x, we get

We know and derivative of a constant is 0.

We know

Now, we have

On differentiating v with respect to x, we get

We know

We know and derivative of a constant is 0.

We have

Thus,