en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 1/(8x^{-4}+1/(4x^2))

Solution

\frac{d}{d x} (\frac{1}{8 x ^{- 4}} + \frac{1}{4 x ^{2}})

Solution

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{1}{8 x ^{- 4}} + \frac{1}{4 x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{8 x ^{- 4}}) + \frac{d}{d x} (\frac{1}{4 x ^{2}})

\frac{d}{d x} (\frac{1}{8 x ^{- 4}}) = \frac{x ^{3}}{2}

\frac{d}{d x} (\frac{1}{4 x ^{2}}) = - \frac{1}{2 x ^{3}}

= \frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Graph

Popular Examples

derivative of 2x-cos(x)

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

2 y^{^{'}} = 3 t + 2

derivative of e^{-pi/2}

\frac{d}{d x} (e^{- \frac{π}{2}})

integral of \sqrt[3]{x}+xsqrt(x)

\int 3 x + x x d x

integral of (e^x)/(16-e^{2x)}

\int \frac{e ^{x}}{16 - e ^{2 x}} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(8x^{-4}+1/(4x^2)) ?
The derivative of 1/(8x^{-4}+1/(4x^2)) is (x^3)/2-1/(2x^3)
What is the first derivative of 1/(8x^{-4}+1/(4x^2)) ?
The first derivative of 1/(8x^{-4}+1/(4x^2)) is (x^3)/2-1/(2x^3)