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Popular >

derivative of 6/(x^5)-2/x

Solution

derivative of

\frac{6}{x ^{5}} - \frac{2}{x}

Solution

- \frac{30}{x ^{6}} + \frac{2}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{6}{x ^{5}} - \frac{2}{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{6}{x ^{5}}) - \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{6}{x ^{5}}) = - \frac{30}{x ^{6}}

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

= - \frac{30}{x ^{6}} - (- \frac{2}{x ^{2}})

Simplify

= - \frac{30}{x ^{6}} + \frac{2}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 6/(x^5)-2/x ?
The derivative of 6/(x^5)-2/x is -(30)/(x^6)+2/(x^2)
What is the first derivative of 6/(x^5)-2/x ?
The first derivative of 6/(x^5)-2/x is -(30)/(x^6)+2/(x^2)