What is the derivative of (10/(x^7)) ?

The derivative of (10/(x^7)) is -(70)/(x^8)

What is the first derivative of (10/(x^7)) ?

The first derivative of (10/(x^7)) is -(70)/(x^8)

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{10}{x ^{7}})

- \frac{70}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{10}{x ^{7}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 10 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 10 (- 7 x^{- 7 - 1})

Simplify

10 (- 7 x^{- 7 - 1}) : - \frac{70}{x ^{8}}

= - \frac{70}{x ^{8}}

y = 9 x, y = \frac{1}{3} x, y = 10 - x^{2}

tan (x y)

1 - 8 u^{2}

\int_{0}^{1} 2 π x (e^{- x^{2}}) d x

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

What is the derivative of (10/(x^7)) ?
The derivative of (10/(x^7)) is -(70)/(x^8)
What is the first derivative of (10/(x^7)) ?
The first derivative of (10/(x^7)) is -(70)/(x^8)