Final answer to the problem
$y^{\prime}=\frac{-y^2+2x}{2yx}$
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Step-by-step Solution
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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(xy^2\right)+\frac{d}{dx}\left(-x^2\right)=0$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(xy^2-x^2+4)=0. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant 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=x and g=y^2. The derivative of the linear function is equal to 1.
Final answer to the problem
$y^{\prime}=\frac{-y^2+2x}{2yx}$
