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 $f=5x^2-3$ and $g=x^2+x+4$
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$\frac{d}{dx}\left(5x^2-3\right)\left(x^2+x+4\right)+\left(5x^2-3\right)\frac{d}{dx}\left(x^2+x+4\right)$
Learn how to solve equations problems step by step online. Find the derivative of (5x^2-3)(x^2+x+4). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=5x^2-3 and g=x^2+x+4. 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.