Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=2x^2+y^3$ and $g=2x^2-y^3$
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$\frac{d}{dx}\left(2x^2+y^3\right)\left(2x^2-y^3\right)+\left(2x^2+y^3\right)\frac{d}{dx}\left(2x^2-y^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2x^2+y^3)(2x^2-y^3). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=2x^2+y^3 and g=2x^2-y^3. 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.