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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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}}

\int e^{x} - 1 d x

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\int_{1}^{e^{3}} \frac{ln ^{4} ( x ^{2} )}{x} d x

\frac{d}{d x} (3^{s i n (x)})

\frac{d}{d x} (tan (5 x))

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