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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\frac{d}{d x} (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))

cot^{2} (x)

f (x) = ln (196 sin^{2} (x))

\frac{d y}{d x} = 6 y e^{x + 7}

\int_{1}^{4} 4 x^{2} - 2 x d x

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