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

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

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

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

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derivative of

y = 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{s - 9}{2 s ^{2} + s + 4}

k = 0 \sum \infty (- 1)^{k}

\frac{c ^{3}}{100} - \frac{1500}{c}

y = 25 - x^{2}, y = 9

\int 7 x cos (4 x) d x

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