What is the derivative of f(x)= 8/x ?

The derivative of f(x)= 8/x is -8/(x^2)

What is the first derivative of f(x)= 8/x ?

The first derivative of f(x)= 8/x is -8/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{8}{x}

- \frac{8}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{8}{x})

Take the constant out:

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

= 8 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 8 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 8 (- 1 \cdot x^{- 1 - 1})

Simplify

8 (- 1 \cdot x^{- 1 - 1}) : - \frac{8}{x ^{2}}

= - \frac{8}{x ^{2}}

\frac{d}{d x} (ln (x^{4} sin^{2} (x)))

\frac{\partial}{\partial x} (2 x^{4})

\frac{\partial}{\partial x} (12 x + 6 y - x^{2} + x y - y^{2})

7 x - 6

\frac{\partial}{\partial x} (\frac{x y}{z})

What is the derivative of f(x)= 8/x ?
The derivative of f(x)= 8/x is -8/(x^2)
What is the first derivative of f(x)= 8/x ?
The first derivative of f(x)= 8/x is -8/(x^2)