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 $f=3x^2+3$ and $g=2x^2+1$
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$\frac{d}{dx}\left(3x^2+3\right)\left(2x^2+1\right)+\left(3x^2+3\right)\frac{d}{dx}\left(2x^2+1\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (3x^2+3)(2x^2+1). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=3x^2+3 and g=2x^2+1. 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 (3) is equal to zero.