What is the derivative of x^2+1/(x^2) ?

The derivative of x^2+1/(x^2) is 2x-2/(x^3)

What is the first derivative of x^2+1/(x^2) ?

The first derivative of x^2+1/(x^2) is 2x-2/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{2} + \frac{1}{x ^{2}}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

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

\frac{d}{d x} ((x + 3) ln (4 x + 2))

\frac{x ^{2}}{100} + 8 + \frac{20}{x}

\int \frac{1.05}{1 + 100 e ^{- 0.285 x}} d x

n = 0 \sum \infty \frac{4}{5 ^{n}}

\int_{0}^{\frac{π}{3}} x^{2} cos (3 x) d x

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