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)

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derivative of

\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 (x + 1) (5 x^{3} - 2) d x

7 - x

sin^{5} (x)

\int \frac{x + 3}{4 - ( x - 2 ) ^{2}} d x

(2 x + 3) y^{^{'}} = y + 2 x + 3

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)