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Popular >

derivative of (12)/(x^3)

Solution

derivative of

\frac{12}{x ^{3}}

Solution

- \frac{36}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{12}{x ^{3}})

Take the constant out:

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

= 12 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= 12 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 12 (- 3 x^{- 3 - 1})

Simplify

12 (- 3 x^{- 3 - 1}) : - \frac{36}{x ^{4}}

= - \frac{36}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is the derivative of (12)/(x^3) ?
The derivative of (12)/(x^3) is -(36)/(x^4)
What is the first derivative of (12)/(x^3) ?
The first derivative of (12)/(x^3) is -(36)/(x^4)