What is the derivative of y=x^2+x^{-2}+7x-1 ?

The derivative of y=x^2+x^{-2}+7x-1 is 2x-2/(x^3)+7

What is the first derivative of y=x^2+x^{-2}+7x-1 ?

The first derivative of y=x^2+x^{-2}+7x-1 is 2x-2/(x^3)+7

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derivative of

y = x^{2} + x^{- 2} + 7 x - 1

2 x - \frac{2}{x ^{3}} + 7

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (1) = 0

= 2 x - \frac{2}{x ^{3}} + 7 - 0

Simplify

= 2 x - \frac{2}{x ^{3}} + 7

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