Final answer to the problem
$y^{\prime}=\frac{-y}{x}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve differential equations problems step by step online.
$\frac{d}{dx}\left(xy\right)=\frac{d}{dx}\left(0\right)$
Learn how to solve differential equations problems step by step online. Find the implicit derivative d/dx(xy=0). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (0) is equal to zero. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=y. The derivative of the linear function is equal to 1.
Final answer to the problem
$y^{\prime}=\frac{-y}{x}$
