Final Answer
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=-2a+6b$ and $g=6b+2a$
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$\frac{d}{db}\left(-2a+6b\right)\left(6b+2a\right)+\left(-2a+6b\right)\frac{d}{db}\left(6b+2a\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (-2a+6b)(6b+2a). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-2a+6b and g=6b+2a. 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.