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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
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$2\frac{d}{dx}\left(x^2\right)y^2+x^2\left(2\frac{d}{dx}\left(y^2\right)+y^2\frac{d}{dx}\left(2\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(2x^2y^2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the constant function (y^2) is equal to zero. The derivative of the constant function (2) is equal to zero. Multiply 0 times 2.