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

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

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

The first derivative of 1+1/x+1/(x^2) is -1/(x^2)-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} + \frac{1}{x ^{2}})

- \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Solution steps

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

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

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

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

= 0 - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Simplify

= - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

\int x^{2} + k x + 1 d x

12 (x - \frac{1}{x})^{4}, at x = 2

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

x^{2} - 1, - 1, 6

y = (5 x^{4} - 3 x^{3}) (3 x^{2} - 7 x^{3})

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