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Popular >

derivative of-8x^{-1}+4x^{-2}-7

Solution

derivative of

- 8 x^{- 1} + 4 x^{- 2} - 7

Solution

\frac{8}{x ^{2}} - \frac{8}{x ^{3}}

Solution steps

\frac{d}{d x} (- 8 x^{- 1} + 4 x^{- 2} - 7)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (8 x^{- 1}) + \frac{d}{d x} (4 x^{- 2}) - \frac{d}{d x} (7)

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

\frac{d}{d x} (4 x^{- 2}) = - \frac{8}{x ^{3}}

\frac{d}{d x} (7) = 0

= - (- \frac{8}{x ^{2}}) - \frac{8}{x ^{3}} - 0

Simplify

= \frac{8}{x ^{2}} - \frac{8}{x ^{3}}

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Frequently Asked Questions (FAQ)

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