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Popular >

derivative of y=12x^2-7x-2x^{-2}

Solution

derivative of

y = 12 x^{2} - 7 x - 2 x^{- 2}

Solution

24 x - 7 + \frac{4}{x ^{3}}

Solution steps

\frac{d}{d x} (12 x^{2} - 7 x - 2 x^{- 2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12 x^{2}) - \frac{d}{d x} (7 x) - \frac{d}{d x} (2 x^{- 2})

\frac{d}{d x} (12 x^{2}) = 24 x

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

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

= 24 x - 7 - (- \frac{4}{x ^{3}})

Simplify

= 24 x - 7 + \frac{4}{x ^{3}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=12x^2-7x-2x^{-2} ?
The derivative of y=12x^2-7x-2x^{-2} is 24x-7+4/(x^3)
What is the first derivative of y=12x^2-7x-2x^{-2} ?
The first derivative of y=12x^2-7x-2x^{-2} is 24x-7+4/(x^3)