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

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

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

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

e^{s i n (2 x)} cos (2 x) \cdot 2

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)) = cos (2 x) \cdot 2

= e^{s i n (2 x)} cos (2 x) \cdot 2

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