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Popular >

derivative of y=11x^{-2}+7x^3-5x

Solution

derivative of

y = 11 x^{- 2} + 7 x^{3} - 5 x

Solution

- \frac{22}{x ^{3}} + 21 x^{2} - 5

Solution steps

\frac{d}{d x} (11 x^{- 2} + 7 x^{3} - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (11 x^{- 2}) + \frac{d}{d x} (7 x^{3}) - \frac{d}{d x} (5 x)

\frac{d}{d x} (11 x^{- 2}) = - \frac{22}{x ^{3}}

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

\frac{d}{d x} (5 x) = 5

= - \frac{22}{x ^{3}} + 21 x^{2} - 5

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Frequently Asked Questions (FAQ)

What is the derivative of y=11x^{-2}+7x^3-5x ?
The derivative of y=11x^{-2}+7x^3-5x is -(22)/(x^3)+21x^2-5
What is the first derivative of y=11x^{-2}+7x^3-5x ?
The first derivative of y=11x^{-2}+7x^3-5x is -(22)/(x^3)+21x^2-5