en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^2-2/(x^2)

Solution

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

Solution

2 x + \frac{4}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= 2 x + \frac{4}{x ^{3}}

Popular Examples

(\partial)/(\partial x)(x*Y(x))

\frac{\partial}{\partial x} (x \cdot Y (x))

slope ofintercept (-7,-4),(-2,3)slope intercept

(- 7, - 4), (- 2, 3)

limit as x approaches infinity of 4-3/x

x \to \infty lim (4 - \frac{3}{x})

area 5-x^2,sin(x),-2.385,2.025 area

5 - x^{2}, sin (x), - 2.385, 2.025

derivative of (4-x^2)^5 derivative of

(4 - x^{2})^{5}

Frequently Asked Questions (FAQ)

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