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Popular Calculus >

derivative of (x^{10}/(20)+1/(16x^8))

Solution

\frac{d}{d x} (\frac{x ^{10}}{20} + \frac{1}{16 x ^{8}})

Solution

\frac{x ^{9}}{2} - \frac{1}{2 x ^{9}}

Solution steps

\frac{d}{d x} (\frac{x ^{10}}{20} + \frac{1}{16 x ^{8}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{10}}{20}) + \frac{d}{d x} (\frac{1}{16 x ^{8}})

\frac{d}{d x} (\frac{x ^{10}}{20}) = \frac{x ^{9}}{2}

\frac{d}{d x} (\frac{1}{16 x ^{8}}) = - \frac{1}{2 x ^{9}}

= \frac{x ^{9}}{2} - \frac{1}{2 x ^{9}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (x^{10}/(20)+1/(16x^8)) ?
The derivative of (x^{10}/(20)+1/(16x^8)) is (x^9)/2-1/(2x^9)
What is the first derivative of (x^{10}/(20)+1/(16x^8)) ?
The first derivative of (x^{10}/(20)+1/(16x^8)) is (x^9)/2-1/(2x^9)