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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\frac{d}{d x} (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 (sin (x) + cos (x)) e^{x} d x

\frac{d}{d x} (e^{x^{3} + 2})

2 x^{2} - 5 x

f (x) = (2 x - 9)^{4} (x^{2} + x + 1)^{5}

y = x^{2} - 2 x, (5, 15)

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