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 $f=x^2$ and $g=3\left(x^5-8\right)$
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$3\frac{d}{dx}\left(x^2\right)\left(x^5-8\right)+x^2\frac{d}{dx}\left(3\left(x^5-8\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(3x^2(x^5-8)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=3\left(x^5-8\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^5-8 and g=3. The derivative of the constant function (3) is equal to zero. Any expression multiplied by 0 is equal to 0.