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

The derivative of e^{xcos(2x)} is e^{xcos(2x)}(cos(2x)-2xsin(2x))

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

The first derivative of e^{xcos(2x)} is e^{xcos(2x)}(cos(2x)-2xsin(2x))

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derivative of

e^{x c o s (2 x)}

e^{x c o s (2 x)} (cos (2 x) - 2 x sin (2 x))

Solution steps

\frac{d}{d x} (e^{x c o s (2 x)})

Apply the chain rule:

e^{x c o s (2 x)} \frac{d}{d x} (x cos (2 x))

= e^{x c o s (2 x)} \frac{d}{d x} (x cos (2 x))

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

= e^{x c o s (2 x)} (cos (2 x) - 2 x sin (2 x))

\frac{d r}{d θ} = \frac{r ^{2} + 9 r θ ^{2}}{3 θ ^{3}}

\int_{0}^{1} 9 cos (3 x) d x

\int \frac{1}{( x + 3 ) x ^{2} + 6 x} d x

f (x) = \frac{x}{7} - 1

\int \frac{3 x - 2}{x ^{2} - x - 3} d x

What is the derivative of e^{xcos(2x)} ?
The derivative of e^{xcos(2x)} is e^{xcos(2x)}(cos(2x)-2xsin(2x))
What is the first derivative of e^{xcos(2x)} ?
The first derivative of e^{xcos(2x)} is e^{xcos(2x)}(cos(2x)-2xsin(2x))