What is the derivative of-8/(x^3) ?

The derivative of-8/(x^3) is (24)/(x^4)

What is the first derivative of-8/(x^3) ?

The first derivative of-8/(x^3) is (24)/(x^4)

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derivative of

- \frac{8}{x ^{3}}

\frac{24}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{8}{x ^{3}})

Take the constant out:

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

= - 8 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 8 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 8 (- 3 x^{- 3 - 1})

Simplify

- 8 (- 3 x^{- 3 - 1}) : \frac{24}{x ^{4}}

= \frac{24}{x ^{4}}

\frac{d}{d L} ((2 L + K (L))^{\frac{1}{3}})

x \to 0 lim (x^{2} cos^{2} (2 x))

\int_{0}^{2 π} - sin^{2} (x) d x

s \to 0 lim (\frac{4}{1 + 2 ^{\frac{1}{s}}})

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

What is the derivative of-8/(x^3) ?
The derivative of-8/(x^3) is (24)/(x^4)
What is the first derivative of-8/(x^3) ?
The first derivative of-8/(x^3) is (24)/(x^4)