Question

Differentiate e^{sin x} with respect to cos x.

Answer 1

Given : Let u = e^{sin x} and v = cos x

To differentiate : e^{sin x} with respect to cos x

Formula used : \(\cfrac{d(e^{\text x})}{d\text x}=e^{\text x}\)

\(\cfrac{d(cos\,\text x)}{d\text x}=-sin\,\text x\)

The CHAIN RULE states that the derivative of f(g(x)) is f’(g(x)).g’(x)