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The derivative of a function multiplied by a constant ($\frac{1}{y}$) is equal to the constant times the derivative of the function
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$\frac{1}{y}\frac{d}{dx}\left(-x\right)$
Learn how to solve problems step by step online. Find the derivative using the product rule d/dx((-x)/y). The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=x. The derivative of the constant function (-1) is equal to zero. Any expression multiplied by 0 is equal to 0.