Exercise
$\frac{d}{dx}y^3+x^2y=2-xy^2$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(y^3+x^2y=2-xy^2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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.
Find the implicit derivative d/dx(y^3+x^2y=2-xy^2)
Final answer to the exercise
$y^{\prime}=\frac{-y^2-2xy}{3y^2+x^2+2xy}$