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The derivative of the linear function is equal to $1$
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$y\left(y^{\prime}+1\right)+1=0$
Learn how to solve differential calculus problems step by step online. Find the implicit derivative of y((d/dx(y)+1))+1=0. The derivative of the linear function is equal to 1. Expand the expression y\left(y^{\prime}+1\right) completely and simplify. Group the terms of the equation by moving the terms that have the variable y^{\prime} to the left side, and those that do not have it to the right side. Divide both sides of the equation by y.