What is the derivative of-(14)/(x^3) ?

The derivative of-(14)/(x^3) is (42)/(x^4)

What is the first derivative of-(14)/(x^3) ?

The first derivative of-(14)/(x^3) is (42)/(x^4)

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derivative of

- \frac{14}{x ^{3}}

\frac{42}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{14}{x ^{3}})

Take the constant out:

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

= - 14 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= - 14 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 14 (- 3 x^{- 3 - 1})

Simplify

- 14 (- 3 x^{- 3 - 1}) : \frac{42}{x ^{4}}

= \frac{42}{x ^{4}}

4 x^{5} + 11

\frac{\partial}{\partial x} (- 8 d (J + \frac{1}{2})^{2})

y^{^{'}} - 5 y = e^{- 2 x} y^{- 2}

\frac{d}{d x} (e^{x} + ln (x) - \frac{1}{x})

n = 1 \sum \infty \frac{1}{( 2 n + 3 ) ^{3}}

What is the derivative of-(14)/(x^3) ?
The derivative of-(14)/(x^3) is (42)/(x^4)
What is the first derivative of-(14)/(x^3) ?
The first derivative of-(14)/(x^3) is (42)/(x^4)