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 $f=19x-12$ and $g=12+19x$
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$\frac{d}{dx}\left(19x-12\right)\left(12+19x\right)+\left(19x-12\right)\frac{d}{dx}\left(12+19x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (19x-12)(12+19x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=19x-12 and g=12+19x. 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 (-12) is equal to zero.