What is the derivative of 1/(x^{14}) ?

The derivative of 1/(x^{14}) is -(14)/(x^{15)}

What is the first derivative of 1/(x^{14}) ?

The first derivative of 1/(x^{14}) is -(14)/(x^{15)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1}{x ^{14}})

- \frac{14}{x ^{15}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{14}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 14})

Apply the Power Rule:

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

= - 14 x^{- 14 - 1}

Simplify

- 14 x^{- 14 - 1} : - \frac{14}{x ^{15}}

= - \frac{14}{x ^{15}}

(5 - e^{- 4 x})^{4}

\int_{1}^{\infty} \frac{4}{x ^{2}} d x

\int 2^{x} + 8 sinh (x) d x

\int_{9}^{11} 2 π y (\frac{9}{y}) d y

What is the derivative of 1/(x^{14}) ?
The derivative of 1/(x^{14}) is -(14)/(x^{15)}
What is the first derivative of 1/(x^{14}) ?
The first derivative of 1/(x^{14}) is -(14)/(x^{15)}