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The derivative of the linear function is equal to $1$
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$\frac{4x+xy^2}{2y+x^2y}=y^{\prime}$
Learn how to solve differential calculus problems step by step online. Find the implicit derivative of (4x+xy^2)/(2y+x^2y)=d/dx(y). The derivative of the linear function is equal to 1. Rearrange the equation. Simplify the derivative.