What is the derivative of e^{sin(x)} ?

The derivative of e^{sin(x)} is e^{sin(x)}cos(x)

What is the first derivative of e^{sin(x)} ?

The first derivative of e^{sin(x)} is e^{sin(x)}cos(x)

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derivative of

e^{s i n (x)}

e^{s i n (x)} cos (x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (x)) = cos (x)

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

\frac{d}{d y} (\frac{y ^{3} - 8}{y ^{3} + 8})

\int e^{x} (x^{2} + 2 x) d x

\frac{\partial}{\partial x} x c^{2} \frac{1}{1 - \frac{v ^{2}}{c ^{2}}} - 1

\int_{0}^{1} \frac{t}{( 2 - t ) ^{2}} d t

\int \frac{1}{x 144 x ^{2} - 144} d x

What is the derivative of e^{sin(x)} ?
The derivative of e^{sin(x)} is e^{sin(x)}cos(x)
What is the first derivative of e^{sin(x)} ?
The first derivative of e^{sin(x)} is e^{sin(x)}cos(x)