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