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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{d}{dx}\left(2401\sqrt[3]{x^{8}}x^{2}y^{-242}\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative of (7x^2/3(xy^(-121))^1/2)^4. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. 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=\sqrt[3]{x^{14}} and g=y^{-242}.