en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{9xsin(2x})

Solution

\frac{d}{d x} (e^{9 x s i n (2 x)})

Solution

e^{9 x s i n (2 x)} \cdot 9 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{9 x s i n (2 x)})

Apply the chain rule:

e^{9 x s i n (2 x)} \frac{d}{d x} (9 x sin (2 x))

= e^{9 x s i n (2 x)} \frac{d}{d x} (9 x sin (2 x))

\frac{d}{d x} (9 x sin (2 x)) = 9 (sin (2 x) + 2 x cos (2 x))

= e^{9 x s i n (2 x)} \cdot 9 (sin (2 x) + 2 x cos (2 x))

Graph

Popular Examples

sum from n=1 to infinity of (cos(n))/(n^5)

n = 1 \sum \infty \frac{cos ( n )}{n ^{5}}

derivative of log_{10}((x^2+1^2))

\frac{d}{d x} (lo g_{10} ((x^{2} + 1)^{2}))

integral of x-cos(x)

\int x - cos (x) d x

inverse oflaplace e^{-s}((s^2+2))/(s^3)inverse laplace

e^{- s} \frac{( s ^{2} + 2 )}{s ^{3}}

integral of 1/(y+y^3)

\int \frac{1}{y + y ^{3}} d y

Frequently Asked Questions (FAQ)

What is the derivative of e^{9xsin(2x}) ?
The derivative of e^{9xsin(2x}) is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))
What is the first derivative of e^{9xsin(2x}) ?
The first derivative of e^{9xsin(2x}) is e^{9xsin(2x)}*9(sin(2x)+2xcos(2x))