If `y=sin(cosx^(2)),` find `(dy)/(dx)`.

Explanation

To find the derivative \( \frac{dy}{dx} \) for the function \( y = \sin(\cos(x^2)) \), we will use the chain rule of differentiation. Here’s the step-by-step solution:

### Step 1: Identify the outer and inner functions
We can identify the outer function and the inner function:
- Outer function: \( y = \sin(t) \) where \( t = \cos(x^2) \)
- Inner function: \( t = \cos(u) \) where \( u = x^2 \)

### Step 2: Differentiate the outer function
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