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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - (- \frac{2}{x ^{3}})

Simplify

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

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

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

\frac{\partial}{\partial x} (x y + 3 y)

x \to 2 lim (- x^{2} + b x - 1)

\frac{d}{d x} (4 x^{2} - 11 x - \frac{5}{x ^{3}})

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