Differentiate `log(cosx^2)` with respect to `x` :

Explanation

To differentiate the function \( y = \log(\cos(x^2)) \) with respect to \( x \), we can follow these steps:

### Step 1: Apply the Chain Rule
We start by using the chain rule for differentiation. The derivative of \( \log(u) \) is given by \( \frac{1}{u} \cdot \frac{du}{dx} \). Here, \( u = \cos(x^2) \).

\[ \frac{dy}{dx} = \frac{1}{\cos(x^2)} \cdot \frac{d}{dx}(\cos(x^2)) \]
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