What is the derivative of x^2+x^{-2} ?

The derivative of x^2+x^{-2} is 2x-2/(x^3)

What is the first derivative of x^2+x^{-2} ?

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

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

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

Solution steps

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

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} (x^{2}) = 2 x

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

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

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