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Popular >

derivative of h(x)= 2/(x^5)+1/(x^7)

Solution

derivative of

h (x) = \frac{2}{x ^{5}} + \frac{1}{x ^{7}}

Solution

- \frac{10}{x ^{6}} - \frac{7}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{5}} + \frac{1}{x ^{7}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2}{x ^{5}}) + \frac{d}{d x} (\frac{1}{x ^{7}})

\frac{d}{d x} (\frac{2}{x ^{5}}) = - \frac{10}{x ^{6}}

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

= - \frac{10}{x ^{6}} - \frac{7}{x ^{8}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of h(x)= 2/(x^5)+1/(x^7) ?
The derivative of h(x)= 2/(x^5)+1/(x^7) is -(10)/(x^6)-7/(x^8)
What is the first derivative of h(x)= 2/(x^5)+1/(x^7) ?
The first derivative of h(x)= 2/(x^5)+1/(x^7) is -(10)/(x^6)-7/(x^8)