What is the derivative of (-5/x) ?

The derivative of (-5/x) is 5/(x^2)

What is the first derivative of (-5/x) ?

The first derivative of (-5/x) is 5/(x^2)

Popular >

\frac{d}{d x} (\frac{- 5}{x})

\frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{- 5}{x})

Simplify

\frac{- 5}{x} : - \frac{5}{x}

= \frac{d}{d x} (- \frac{5}{x})

Take the constant out:

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

= - 5 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 5 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - 5 (- 1 \cdot x^{- 1 - 1})

Simplify

- 5 (- 1 \cdot x^{- 1 - 1}) : \frac{5}{x ^{2}}

= \frac{5}{x ^{2}}

\int \frac{1}{x ^{- 2}} d x

n = 6 \sum \infty e^{7 - 6 n}

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

\frac{\partial}{\partial y} (- \frac{1}{y} sin (\frac{x}{y}))

\frac{d ^{2}}{d x ^{2}} (\frac{5}{6 x ^{4}})

What is the derivative of (-5/x) ?
The derivative of (-5/x) is 5/(x^2)
What is the first derivative of (-5/x) ?
The first derivative of (-5/x) is 5/(x^2)