What is the derivative of e^{2sin(3x}) ?

The derivative of e^{2sin(3x}) is e^{2sin(3x)}*6cos(3x)

What is the first derivative of e^{2sin(3x}) ?

The first derivative of e^{2sin(3x}) is e^{2sin(3x)}*6cos(3x)

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\frac{d}{d x} (e^{2 s i n (3 x)})

e^{2 s i n (3 x)} \cdot 6 cos (3 x)

Solution steps

\frac{d}{d x} (e^{2 s i n (3 x)})

Apply the chain rule:

e^{2 s i n (3 x)} \frac{d}{d x} (2 sin (3 x))

= e^{2 s i n (3 x)} \frac{d}{d x} (2 sin (3 x))

\frac{d}{d x} (2 sin (3 x)) = 6 cos (3 x)

= e^{2 s i n (3 x)} \cdot 6 cos (3 x)

What is the derivative of e^{2sin(3x}) ?
The derivative of e^{2sin(3x}) is e^{2sin(3x)}*6cos(3x)
What is the first derivative of e^{2sin(3x}) ?
The first derivative of e^{2sin(3x}) is e^{2sin(3x)}*6cos(3x)