What is the derivative of e^{2sin(x}) ?

The derivative of e^{2sin(x}) is e^{2sin(x)}*2cos(x)

What is the first derivative of e^{2sin(x}) ?

The first derivative of e^{2sin(x}) is e^{2sin(x)}*2cos(x)

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

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

5 x^{2} y^{^{'}} = y^{^{'}} + 9 x e^{- y}

\int ln (x) x^{7} d x

y = - 2 x^{4} + 7 x e^{x}

\int 3 π cos^{3} (5 π x) sin^{7} (5 π x) d x

10 t^{4}

What is the derivative of e^{2sin(x}) ?
The derivative of e^{2sin(x}) is e^{2sin(x)}*2cos(x)
What is the first derivative of e^{2sin(x}) ?
The first derivative of e^{2sin(x}) is e^{2sin(x)}*2cos(x)