What is the derivative of 2/(x^9) ?

The derivative of 2/(x^9) is -(18)/(x^{10)}

What is the first derivative of 2/(x^9) ?

The first derivative of 2/(x^9) is -(18)/(x^{10)}

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{2}{x ^{9}})

- \frac{18}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{9}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

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

= 2 \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

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

= 2 (- 9 x^{- 9 - 1})

Simplify

2 (- 9 x^{- 9 - 1}) : - \frac{18}{x ^{10}}

= - \frac{18}{x ^{10}}

\frac{\partial}{\partial y} (x^{- 2} y^{- 5})

\int sin (14 x) cos (9 x) d x

\frac{d}{d x} (sin (\frac{2}{x}))

\frac{d x}{d y} = \frac{y}{5}

\frac{\partial}{\partial x} (3 x e^{x})

What is the derivative of 2/(x^9) ?
The derivative of 2/(x^9) is -(18)/(x^{10)}
What is the first derivative of 2/(x^9) ?
The first derivative of 2/(x^9) is -(18)/(x^{10)}