What is the derivative of (3x^{-4}) ?

The derivative of (3x^{-4}) is -4/(81x^5)

What is the first derivative of (3x^{-4}) ?

The first derivative of (3x^{-4}) is -4/(81x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

- \frac{4}{81 x ^{5}}

Solution steps

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

Apply the chain rule:

- \frac{4}{( 3 x ) ^{5}} \frac{d}{d x} (3 x)

= - \frac{4}{( 3 x ) ^{5}} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - \frac{4}{( 3 x ) ^{5}} \cdot 3

Simplify

- \frac{4}{( 3 x ) ^{5}} \cdot 3 : - \frac{4}{81 x ^{5}}

= - \frac{4}{81 x ^{5}}

8 e^{x} + x

f (x) = \frac{x ^{8} + 2 x + 8}{x ^{2}}

y^{^{'}} = 25 - 10 t - 2 y

\int \frac{1}{64 e ^{- 2 x} + e ^{2 x}} d x

\frac{d}{d x} (\frac{21 x ^{\frac{1}{2}}}{2})

What is the derivative of (3x^{-4}) ?
The derivative of (3x^{-4}) is -4/(81x^5)
What is the first derivative of (3x^{-4}) ?
The first derivative of (3x^{-4}) is -4/(81x^5)