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

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

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

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

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derivative of

f (x) = 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)

y = 2 x^{3} - 8 x, (- 2, 0)

\int e^{- t (s + 1)} d t

\frac{e ^{- s}}{1 - s}

f (t) = 2^{t^{3}}

sin (x), (\frac{π}{4})

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