What is the derivative of x^{-1} ?

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

What is the first derivative of x^{-1} ?

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

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derivative of

x^{- 1}

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

Solution steps

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

Apply the Power Rule:

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

= - 1 \cdot x^{- 1 - 1}

Simplify

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

= - \frac{1}{x ^{2}}

\frac{d}{d x} (\frac{9 ( 5 ^{x} )}{x ^{5}})

y^{^{''}} + 2 y^{^{'}} + 17 y = 0

\frac{d}{d x} (\frac{1}{x ^{2} + 9})

\int \frac{5 x ^{2}}{x ^{2} + 7} d x

\int sin^{3} (a x) d x

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