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

The derivative of (-5/(x^2)) is (10)/(x^3)

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

The first derivative of (-5/(x^2)) is (10)/(x^3)

Popular >

\frac{d}{d x} (\frac{- 5}{x ^{2}})

\frac{10}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{- 5}{x ^{2}})

Simplify

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

= \frac{d}{d x} (- \frac{5}{x ^{2}})

Take the constant out:

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

= - 5 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= - 5 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - 5 (- 2 x^{- 2 - 1})

Simplify

- 5 (- 2 x^{- 2 - 1}) : \frac{10}{x ^{3}}

= \frac{10}{x ^{3}}

\int \frac{2 x - 4}{( x ^{2} - 4 x + 20 ) ^{2}} d x

\int x^{2} a x^{3} - b d x

sin (5 π t)

\int \frac{7 x ^{2} + 9 x + 7}{( x ^{2} + 1 ) ^{2}} d x

\int_{4}^{5} \frac{x}{x ^{2} + 4 x + 20} d x

What is the derivative of (-5/(x^2)) ?
The derivative of (-5/(x^2)) is (10)/(x^3)
What is the first derivative of (-5/(x^2)) ?
The first derivative of (-5/(x^2)) is (10)/(x^3)