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Popular >

derivative of y=6x^2-10x-5x^{-2}

Solution

derivative of

y = 6 x^{2} - 10 x - 5 x^{- 2}

Solution

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

Solution steps

\frac{d}{d x} (6 x^{2} - 10 x - 5 x^{- 2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (10 x) - \frac{d}{d x} (5 x^{- 2})

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

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (5 x^{- 2}) = - \frac{10}{x ^{3}}

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

Simplify

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

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Frequently Asked Questions (FAQ)

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