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What is the derivative of 1/x?
in Mathematics by Wooden (1,130 points) | 33 views

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Derivative of $\dfrac{1}{x}  \implies \dfrac{d}{dx}\left(\dfrac{1}{x}\right)$

$= \dfrac{d}{dx} x^{-1}$ making use of

$\dfrac{1}{y^a} = y^{-a}$

$= -1 \cdot x^{-1-1}$  making use of

$\dfrac{d}{dy}y^n = n \cdot y^{n-1}$

$= -x^{-2} = - \dfrac{1}{x^2}$
by Wooden (1,476 points)
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