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^2-3/(x^4))

Solution

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

Solution

- \frac{2}{x ^{3}} + \frac{12}{x ^{5}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{3}{x ^{4}}) = - \frac{12}{x ^{5}}

= - \frac{2}{x ^{3}} - (- \frac{12}{x ^{5}})

Simplify

= - \frac{2}{x ^{3}} + \frac{12}{x ^{5}}

Popular Examples

area y=x^4,y=x area

y = x^{4}, y = x

derivative of x^2(3x^4-7x+2)

\frac{d}{d x} (x^{2} (3 x^{4} - 7 x + 2))

derivative of (sec(x)/(4x^2+5))

\frac{d}{d x} (\frac{sec ( x )}{4 x ^{2} + 5})

inverse oflaplace s/(s^2+4s+8)inverse laplace

\frac{s}{s ^{2} + 4 s + 8}

derivative of g(x)=-x^2+7x+7 derivative of

g (x) = - x^{2} + 7 x + 7

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^2-3/(x^4)) ?
The derivative of 1/(x^2-3/(x^4)) is -2/(x^3)+(12)/(x^5)
What is the first derivative of 1/(x^2-3/(x^4)) ?
The first derivative of 1/(x^2-3/(x^4)) is -2/(x^3)+(12)/(x^5)