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