What is the derivative of f(x)=x^{-2} ?

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

What is the first derivative of f(x)=x^{-2} ?

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

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derivative of

f (x) = x^{- 2}

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

Solution steps

\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^{- 2 - 1} : - \frac{2}{x ^{3}}

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

\frac{d}{d x} (lo g_{10} (e^{x}))

\frac{d y}{d t} = - \frac{1}{2} y

x \to 0 + lim (\frac{x ^{2} - 1}{x})

\frac{2 x - 1}{x + 1}

\frac{v - 1}{v ^{2} - 2 v + 1} d v = - \frac{1}{y} d y

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