What is (\partial)/(\partial x)(e^{sin^2(x)}) ?

The answer to (\partial)/(\partial x)(e^{sin^2(x)}) is e^{sin^2(x)}sin(2x)

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(\partial)/(\partial x)(e^{sin^2(x)})

\frac{\partial}{\partial x} (e^{s i n^{2} (x)})

e^{s i n^{2} (x)} sin (2 x)

Solution steps

\frac{\partial}{\partial x} (e^{s i n^{2} (x)})

Apply the chain rule:

e^{s i n^{2} (x)} \frac{\partial}{\partial x} (sin^{2} (x))

= e^{s i n^{2} (x)} \frac{\partial}{\partial x} (sin^{2} (x))

\frac{\partial}{\partial x} (sin^{2} (x)) = sin (2 x)

= e^{s i n^{2} (x)} sin (2 x)

What is (\partial)/(\partial x)(e^{sin^2(x)}) ?
The answer to (\partial)/(\partial x)(e^{sin^2(x)}) is e^{sin^2(x)}sin(2x)