Final answer to the problem
$3\left(x^2+y^{\left(2+{\prime}\right)}\right)=3\left(y+xy^{\prime}\right)$
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Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the implicit derivative d/dx(x^3+y^3=3xy). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. 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. The derivative of the linear function is equal to 1.
Final answer to the problem
$3\left(x^2+y^{\left(2+{\prime}\right)}\right)=3\left(y+xy^{\prime}\right)$
