What is the derivative of (10)/x ?

The derivative of (10)/x is -(10)/(x^2)

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

The first derivative of (10)/x is -(10)/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{10}{x}

- \frac{10}{x ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 10 (- 1 \cdot x^{- 1 - 1})

Simplify

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

= - \frac{10}{x ^{2}}

x \to a lim (\frac{x - 1}{3 x + 6})

\int (x ln (x)) d x

\frac{d}{d x} (π r (x) (x)^{2} h)

\frac{d y}{d x} = \frac{3 x}{2 y}

\int e^{x} ln (e^{x} + 1) d x

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