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

The derivative of (x+2/(x^2)) is (-x-4)/(x^3)

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

The first derivative of (x+2/(x^2)) is (-x-4)/(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} (\frac{x + 2}{x ^{2}})

\frac{- x - 4}{x ^{3}}

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

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

Simplify

\frac{1 \cdot x ^{2} - 2 x ( x + 2 )}{( x ^{2} ) ^{2}} : \frac{- x - 4}{x ^{3}}

= \frac{- x - 4}{x ^{3}}

tan (x), \frac{π}{4}

y^{^{'}} = \frac{2 - e ^{x}}{3 + 2 y}, y (0) = 0

y = \frac{1}{x + k e ^{x}}

8

x \to + 3 lim (2 x - 5)

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