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Popular >

derivative of 1/(x^7+1/(x^8))

Solution

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{1}{x ^{8}})

Solution

- \frac{7}{x ^{8}} - \frac{8}{x ^{9}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{1}{x ^{8}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{7}}) + \frac{d}{d x} (\frac{1}{x ^{8}})

\frac{d}{d x} (\frac{1}{x ^{7}}) = - \frac{7}{x ^{8}}

\frac{d}{d x} (\frac{1}{x ^{8}}) = - \frac{8}{x ^{9}}

= - \frac{7}{x ^{8}} - \frac{8}{x ^{9}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^7+1/(x^8)) ?
The derivative of 1/(x^7+1/(x^8)) is -7/(x^8)-8/(x^9)
What is the first derivative of 1/(x^7+1/(x^8)) ?
The first derivative of 1/(x^7+1/(x^8)) is -7/(x^8)-8/(x^9)