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Popular >

derivative of 2/(7x^3)

Solution

\frac{d}{d x} (\frac{2}{7 x ^{3}})

Solution

- \frac{6}{7 x ^{4}}

Solution steps

\frac{d}{d x} (\frac{2}{7 x ^{3}})

Take the constant out:

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

= \frac{2}{7} \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= \frac{2}{7} \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= \frac{2}{7} (- 3 x^{- 3 - 1})

Simplify

\frac{2}{7} (- 3 x^{- 3 - 1}) : - \frac{6}{7 x ^{4}}

= - \frac{6}{7 x ^{4}}

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

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(\partial)/(\partial x)(20arccot(x))

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\int_{6}^{12} (6 e^{x}) d x

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\int \frac{9 - x}{9 + x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2/(7x^3) ?
The derivative of 2/(7x^3) is -6/(7x^4)
What is the first derivative of 2/(7x^3) ?
The first derivative of 2/(7x^3) is -6/(7x^4)