en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 5/(x^3+1/(e^{2x)})

Solution

\frac{d}{d x} (\frac{5}{x ^{3}} + \frac{1}{e ^{2 x}})

Solution

- \frac{15}{x ^{4}} - 2 e^{- 2 x}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{3}} + \frac{1}{e ^{2 x}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{5}{x ^{3}}) + \frac{d}{d x} (\frac{1}{e ^{2 x}})

\frac{d}{d x} (\frac{5}{x ^{3}}) = - \frac{15}{x ^{4}}

\frac{d}{d x} (\frac{1}{e ^{2 x}}) = - 2 e^{- 2 x}

= - \frac{15}{x ^{4}} - 2 e^{- 2 x}

Popular Examples

maclaurin e^{3x}cos(2x)maclaurin

e^{3 x} cos (2 x)

derivative of (5x^2-7xe^x)

\frac{d}{d x} ((5 x^{2} - 7 x) e^{x})

inverse oflaplace (0.5)/(s^2)inverse laplace

\frac{0.5}{s ^{2}}

integral of (tan^3(9/z))/(z^2)

\int \frac{tan ^{3} ( \frac{9}{z} )}{z ^{2}}

derivative of (log_{2}(x)^2)

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

Frequently Asked Questions (FAQ)

What is the derivative of 5/(x^3+1/(e^{2x)}) ?
The derivative of 5/(x^3+1/(e^{2x)}) is -(15)/(x^4)-2e^{-2x}
What is the first derivative of 5/(x^3+1/(e^{2x)}) ?
The first derivative of 5/(x^3+1/(e^{2x)}) is -(15)/(x^4)-2e^{-2x}