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Popular >

derivative of 1/(3x^3)+(x^7)/(10)

Solution

derivative of

\frac{1}{3 x ^{3}} + \frac{x ^{7}}{10}

Solution

- \frac{1}{x ^{4}} + \frac{7 x ^{6}}{10}

Solution steps

\frac{d}{d x} (\frac{1}{3 x ^{3}} + \frac{x ^{7}}{10})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{3 x ^{3}}) + \frac{d}{d x} (\frac{x ^{7}}{10})

\frac{d}{d x} (\frac{1}{3 x ^{3}}) = - \frac{1}{x ^{4}}

\frac{d}{d x} (\frac{x ^{7}}{10}) = \frac{7 x ^{6}}{10}

= - \frac{1}{x ^{4}} + \frac{7 x ^{6}}{10}

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Frequently Asked Questions (FAQ)

What is the derivative of 1/(3x^3)+(x^7)/(10) ?
The derivative of 1/(3x^3)+(x^7)/(10) is -1/(x^4)+(7x^6)/(10)
What is the first derivative of 1/(3x^3)+(x^7)/(10) ?
The first derivative of 1/(3x^3)+(x^7)/(10) is -1/(x^4)+(7x^6)/(10)