What is the derivative of (-24/(x^5)) ?

The derivative of (-24/(x^5)) is (120)/(x^6)

What is the first derivative of (-24/(x^5)) ?

The first derivative of (-24/(x^5)) is (120)/(x^6)

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\frac{d}{d x} (\frac{- 24}{x ^{5}})

\frac{120}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{- 24}{x ^{5}})

Simplify

\frac{- 24}{x ^{5}} : - \frac{24}{x ^{5}}

= \frac{d}{d x} (- \frac{24}{x ^{5}})

Take the constant out:

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

= - 24 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 24 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 24 (- 5 x^{- 5 - 1})

Simplify

- 24 (- 5 x^{- 5 - 1}) : \frac{120}{x ^{6}}

= \frac{120}{x ^{6}}

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

\int (2 e^{2 x}) d x

\int \frac{1}{5 x ^{6}} d x

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

\int \frac{3 + 6 sinh ( x )}{x + 2 cosh ( x )} d x

What is the derivative of (-24/(x^5)) ?
The derivative of (-24/(x^5)) is (120)/(x^6)
What is the first derivative of (-24/(x^5)) ?
The first derivative of (-24/(x^5)) is (120)/(x^6)