What is the derivative of f(x)=13x^{-3} ?

The derivative of f(x)=13x^{-3} is -(39)/(x^4)

What is the first derivative of f(x)=13x^{-3} ?

The first derivative of f(x)=13x^{-3} is -(39)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 13 x^{- 3}

- \frac{39}{x ^{4}}

Solution steps

\frac{d}{d x} (13 x^{- 3})

Take the constant out:

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

= 13 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 13 (- 3 x^{- 3 - 1})

Simplify

13 (- 3 x^{- 3 - 1}) : - \frac{39}{x ^{4}}

= - \frac{39}{x ^{4}}

x \to 0 lim ((1 + 3 x)^{\frac{5}{x}})

\int 5 x e^{6 x} d x

(e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} - \frac{5 e ^{\frac{1}{x}}}{x ^{2}})^{^{'}}

t \to 0 lim ((t - 2)^{5})

\frac{( x - 1 )}{( x + 2 )}

What is the derivative of f(x)=13x^{-3} ?
The derivative of f(x)=13x^{-3} is -(39)/(x^4)
What is the first derivative of f(x)=13x^{-3} ?
The first derivative of f(x)=13x^{-3} is -(39)/(x^4)