Differentiate `sin(cos(x^2))` with respect to x.

Explanation

To differentiate the function \( y = \sin(\cos(x^2)) \) with respect to \( x \), we will use the chain rule. The chain rule states that if you have a composition of functions, the derivative is the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function.

### Step-by-Step Solution:

1. **Identify the outer and inner functions**:
- Let \( u = \cos(x^2) \) (inner function)
- Then, \( y = \sin(u) \) (outer function)

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