What is the derivative of 6/(x^4) ?

The derivative of 6/(x^4) is -(24)/(x^5)

What is the first derivative of 6/(x^4) ?

The first derivative of 6/(x^4) is -(24)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{6}{x ^{4}}

- \frac{24}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{6}{x ^{4}})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 6 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 6 (- 4 x^{- 4 - 1})

Simplify

6 (- 4 x^{- 4 - 1}) : - \frac{24}{x ^{5}}

= - \frac{24}{x ^{5}}

\int 2 t^{3} - 6 t + 7 d t

\frac{d}{d x} (\frac{14 x + 6 x ^{2}}{( 7 + 6 x ) ^{2}})

\frac{\partial}{\partial x} (\frac{- x - 7 y}{y ^{2} + 6 x ^{2}})

\frac{d}{d x} ((3 x + 2 y)^{5})

\int_{0}^{4} \frac{5}{2 x + 1} d x

What is the derivative of 6/(x^4) ?
The derivative of 6/(x^4) is -(24)/(x^5)
What is the first derivative of 6/(x^4) ?
The first derivative of 6/(x^4) is -(24)/(x^5)