What is the derivative of f(x)=cx^{-2} ?

The derivative of f(x)=cx^{-2} is -(2c)/(x^3)

What is the first derivative of f(x)=cx^{-2} ?

The first derivative of f(x)=cx^{-2} is -(2c)/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = c x^{- 2}

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

= c (- 2 x^{- 2 - 1})

Simplify

c (- 2 x^{- 2 - 1}) : - \frac{2 c}{x ^{3}}

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

\frac{\partial}{\partial y} (x y + x^{2})

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{4}) = 0

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

x \to + 3 lim (\frac{8}{x - 3})

5 x, \frac{5}{x}, 0, 5

What is the derivative of f(x)=cx^{-2} ?
The derivative of f(x)=cx^{-2} is -(2c)/(x^3)
What is the first derivative of f(x)=cx^{-2} ?
The first derivative of f(x)=cx^{-2} is -(2c)/(x^3)