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Popular >

derivative of 1/(x^6+1/(x^7))

Solution

\frac{d}{d x} (\frac{1}{x ^{6}} + \frac{1}{x ^{7}})

Solution

- \frac{6}{x ^{7}} - \frac{7}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{6}} + \frac{1}{x ^{7}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{6}}) + \frac{d}{d x} (\frac{1}{x ^{7}})

\frac{d}{d x} (\frac{1}{x ^{6}}) = - \frac{6}{x ^{7}}

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

= - \frac{6}{x ^{7}} - \frac{7}{x ^{8}}

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\int 8 e^{2 θ} sin (2 θ) d θ

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^6+1/(x^7)) ?
The derivative of 1/(x^6+1/(x^7)) is -6/(x^7)-7/(x^8)
What is the first derivative of 1/(x^6+1/(x^7)) ?
The first derivative of 1/(x^6+1/(x^7)) is -6/(x^7)-7/(x^8)