What is the derivative of 1/(x^{-2}) ?

The derivative of 1/(x^{-2}) is 2x

What is the first derivative of 1/(x^{-2}) ?

The first derivative of 1/(x^{-2}) is 2x

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

2 x

Solution steps

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 x^{2 - 1}

Simplify

= 2 x

\frac{\partial}{\partial x} (\frac{e \cdot x}{c - x})

x \to 4 - lim (\frac{- 2}{x ^{2} - 16})

2 x^{2} - 3

\int \frac{1}{25 x ^{2} - 4} d x

\frac{d}{d x} (\frac{1}{2} x^{3} + \frac{1}{6 x})

What is the derivative of 1/(x^{-2}) ?
The derivative of 1/(x^{-2}) is 2x
What is the first derivative of 1/(x^{-2}) ?
The first derivative of 1/(x^{-2}) is 2x