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Popular >

derivative of 7/(x^{-2}+5/(x^{-3)})

Solution

\frac{d}{d x} (\frac{7}{x ^{- 2}} + \frac{5}{x ^{- 3}})

Solution

14 x + 15 x^{2}

Solution steps

\frac{d}{d x} (\frac{7}{x ^{- 2}} + \frac{5}{x ^{- 3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{7}{x ^{- 2}}) + \frac{d}{d x} (\frac{5}{x ^{- 3}})

\frac{d}{d x} (\frac{7}{x ^{- 2}}) = 14 x

\frac{d}{d x} (\frac{5}{x ^{- 3}}) = 15 x^{2}

= 14 x + 15 x^{2}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 7/(x^{-2}+5/(x^{-3)}) ?
The derivative of 7/(x^{-2}+5/(x^{-3)}) is 14x+15x^2
What is the first derivative of 7/(x^{-2}+5/(x^{-3)}) ?
The first derivative of 7/(x^{-2}+5/(x^{-3)}) is 14x+15x^2