If `y=cos x^(2)`, then find `(dy)/(dx)` .

Explanation

To find the derivative of the function \( y = \cos(x^2) \) with respect to \( x \), we will use the chain rule of differentiation. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
In our case, we can identify:
- The outer function \( y = \cos(u) \) where \( u = x^2 \).
- The inner function \( u = x^2 \).

### Step 2: Differentiate the outer function
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