Write the derivative of `sinx` w.r.t. `cosxdot`

Explanation

To find the derivative of \( \sin x \) with respect to \( \cos x \), we can follow these steps:

### Step 1: Define the Variables
Let:
- \( u = \sin x \)
- \( v = \cos x \)

### Step 2: Differentiate \( u \) with respect to \( x \)
...