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

The derivative of e^{3xsin(2x}) is e^{3xsin(2x)}*3(sin(2x)+2xcos(2x))

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

The first derivative of e^{3xsin(2x}) is e^{3xsin(2x)}*3(sin(2x)+2xcos(2x))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (\frac{x}{1 + x ^{2} y ^{2}})

\int x (x + 7)^{6} d x

\frac{d}{d x} (\frac{x ^{2} - 5 x + 3}{x})

\frac{d}{d x} (4 x^{2} + 5 x + 3)

\int \frac{4 y}{x} d x

What is the derivative of e^{3xsin(2x}) ?
The derivative of e^{3xsin(2x}) is e^{3xsin(2x)}*3(sin(2x)+2xcos(2x))
What is the first derivative of e^{3xsin(2x}) ?
The first derivative of e^{3xsin(2x}) is e^{3xsin(2x)}*3(sin(2x)+2xcos(2x))