What is the derivative of 3/(x^4) ?

The derivative of 3/(x^4) is -(12)/(x^5)

What is the first derivative of 3/(x^4) ?

The first derivative of 3/(x^4) is -(12)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

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

- \frac{12}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{4}})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 3 (- 4 x^{- 4 - 1})

Simplify

3 (- 4 x^{- 4 - 1}) : - \frac{12}{x ^{5}}

= - \frac{12}{x ^{5}}

\frac{d}{d t} (5 t + 16 t^{2})

x (1 + x)^{2}

e^{x^{2} - y^{2}}

(8 x^{2} + 3 x + 1) \cdot 0.2 x

- 2 + 3 sin (x)

What is the derivative of 3/(x^4) ?
The derivative of 3/(x^4) is -(12)/(x^5)
What is the first derivative of 3/(x^4) ?
The first derivative of 3/(x^4) is -(12)/(x^5)