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

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

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

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

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derivative of

e^{s i n (2 x)}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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

\int \frac{4 x}{4 x ^{2} + 1} d x

\frac{d}{d x} (\frac{2 x}{( x ^{2} - 3 ) ^{2}})

y = e^{- x} cos (2 x)

\frac{1}{s ^{4} + s ^{2}}

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