en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 1/(x^4-3/(x^2))

Solution

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

Solution

- \frac{4}{x ^{5}} + \frac{6}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{1}{x ^{4}}) = - \frac{4}{x ^{5}}

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

= - \frac{4}{x ^{5}} - (- \frac{6}{x ^{3}})

Simplify

= - \frac{4}{x ^{5}} + \frac{6}{x ^{3}}

Popular Examples

derivative of (1-x/(1+sqrt(x)))

\frac{d}{d x} (\frac{1 - x}{1 + x})

derivative of sqrt(x)(3x-2)derivative of

x (3 x - 2)

limit as x approaches infinity+of 1/x+x

x \to \infty + lim (\frac{1}{x} + x)

integral of (e^{5sqrt(t)})/(sqrt(t))

\int \frac{e ^{5 t}}{t} d t

(d^2y)/(dx^2)+64y=0

\frac{d ^{2} y}{d x ^{2}} + 64 y = 0

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^4-3/(x^2)) ?
The derivative of 1/(x^4-3/(x^2)) is -4/(x^5)+6/(x^3)
What is the first derivative of 1/(x^4-3/(x^2)) ?
The first derivative of 1/(x^4-3/(x^2)) is -4/(x^5)+6/(x^3)