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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}{db}\left(a^2b^2+c^2\right)\left(a^2b^2-c^2\right)+\left(a^2b^2+c^2\right)\frac{d}{db}\left(a^2b^2-c^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^2b^2+c^2)(a^2b^2-c^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 the constant function (c^2) is equal to zero.