Differentiate the functions with respect to x
`cosx^3.sin^2(x^5)`

Explanation

To differentiate the function \( y = \cos(x^3) \cdot \sin^2(x^5) \) with respect to \( x \), we will use the product rule of differentiation. The product rule states that if \( y = u \cdot v \), then:

\[ \frac{dy}{dx} = u'v + uv' \]

where \( u = \cos(x^3) \) and \( v = \sin^2(x^5) \).

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