Final answer to the problem
$\frac{-1}{y}$
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Step-by-step Solution
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1
Apply the formula: $\frac{d}{dx}\left(\frac{x}{c}\right)$$=\frac{1}{c}\frac{d}{dx}\left(x\right)$, where $c=y$ and $x=-x$
$\frac{1}{y}\frac{d}{dx}\left(-x\right)$
Learn how to solve règle du quotient de la différentiation problems step by step online.
$\frac{1}{y}\frac{d}{dx}\left(-x\right)$
Learn how to solve règle du quotient de la différentiation problems step by step online. Find the derivative d/dx((-x)/y). Apply the formula: \frac{d}{dx}\left(\frac{x}{c}\right)=\frac{1}{c}\frac{d}{dx}\left(x\right), where c=y and x=-x. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=-1. Apply the formula: -\frac{b}{c}=\frac{expand\left(-b\right)}{c}, where b=1 and c=y. Apply the formula: \frac{d}{dx}\left(x\right)=1.
Final answer to the problem
$\frac{-1}{y}$
