What is the derivative of 1/(x^7+2/(x^3)) ?

The derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)

What is the first derivative of 1/(x^7+2/(x^3)) ?

The first derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)

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

- \frac{7}{x ^{8}} - \frac{6}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - \frac{7}{x ^{8}} - \frac{6}{x ^{4}}

What is the derivative of 1/(x^7+2/(x^3)) ?
The derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)
What is the first derivative of 1/(x^7+2/(x^3)) ?
The first derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)