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Differentiate sin(cos(x^2)) with respec...

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

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To differentiate \( \sin(\cos(x^2)) \) with respect to \( x \), we will use the chain rule. The chain rule states that if you have a composite function \( f(g(x)) \), then the derivative is given by \( f'(g(x)) \cdot g'(x) \). ### Step-by-step Solution: 1. **Identify the outer and inner functions**: Here, the outer function is \( f(u) = \sin(u) \) and the inner function is \( g(x) = \cos(x^2) \). 2. **Differentiate the outer function**: ...
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