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Popular >

derivative of 5x^2-11x-6/(x^2)

Solution

derivative of

5 x^{2} - 11 x - \frac{6}{x ^{2}}

Solution

10 x - 11 + \frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (5 x^{2} - 11 x - \frac{6}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (11 x) - \frac{d}{d x} (\frac{6}{x ^{2}})

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (11 x) = 11

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

= 10 x - 11 - (- \frac{12}{x ^{3}})

Simplify

= 10 x - 11 + \frac{12}{x ^{3}}

Popular Examples

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\frac{d}{d x} (\frac{x ^{2} + 8 x + 3}{x})

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\int_{1}^{3} (2 x^{2} - 2 x + 3) d x

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\int sin (\frac{nπ x}{l}) d x

integral from 0 to 3y-5 of xy^2

\int_{0}^{3 y - 5} x y^{2} d x

integral of e^{-y^2}

\int e^{- y^{2}} d y

Frequently Asked Questions (FAQ)

What is the derivative of 5x^2-11x-6/(x^2) ?
The derivative of 5x^2-11x-6/(x^2) is 10x-11+(12)/(x^3)
What is the first derivative of 5x^2-11x-6/(x^2) ?
The first derivative of 5x^2-11x-6/(x^2) is 10x-11+(12)/(x^3)