What is the derivative of e^{4xsin(2x)} ?

The derivative of e^{4xsin(2x)} is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))

What is the first derivative of e^{4xsin(2x)} ?

The first derivative of e^{4xsin(2x)} is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))

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derivative of

e^{4 x s i n (2 x)}

e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{4 x s i n (2 x)})

Apply the chain rule:

e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

= e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

\frac{d}{d x} (4 x sin (2 x)) = 4 (sin (2 x) + 2 x cos (2 x))

= e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

What is the derivative of e^{4xsin(2x)} ?
The derivative of e^{4xsin(2x)} is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))
What is the first derivative of e^{4xsin(2x)} ?
The first derivative of e^{4xsin(2x)} is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))