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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dx}\left(\sqrt[3]{xy^2}\right)\sqrt[3]{x^3y}+\sqrt[3]{xy^2}\frac{d}{dx}\left(\sqrt[3]{x^3y}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (xy^2)^1/3(x^3y)^1/3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'.