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 $f=a^2b-7b$ and $g=a^2b+7b$
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$\frac{d}{da}\left(a^2b-7b\right)\left(a^2b+7b\right)+\left(a^2b-7b\right)\frac{d}{da}\left(a^2b+7b\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^2b-7b)(a^2b+7b). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=a^2b-7b and g=a^2b+7b. 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 linear function times a constant, is equal to the constant.