en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of e^{3xcos(2x)}

Solution

derivative of

e^{3 x c o s (2 x)}

Solution

e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

Solution steps

\frac{d}{d x} (e^{3 x c o s (2 x)})

Apply the chain rule:

e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

= e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

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

= e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

Graph

Popular Examples

derivative of y=-3/x+2/(x^3)

d er i v a t i v e y = - \frac{3}{x} + \frac{2}{x ^{3}}

integral of (7-x^2)/(3x^3+x)

\int \frac{7 - x ^{2}}{3 x ^{3} + x} d x

tangent of f(x)=x^2+x,\at a=5

t an g e n t f (x) = x^{2} + x, at a = 5

integral of (13)/(x(x^2+4)^2)

\int \frac{13}{x ( x ^{2} + 4 ) ^{2}} d x

integral of (16)/((t^2+1)^{3/2)}

\int \frac{16}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

Frequently Asked Questions (FAQ)

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