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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=\left(4-5x\right)\left(2+x\right)$
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$\frac{d}{dx}\left(x\right)\left(4-5x\right)\left(2+x\right)+x\frac{d}{dx}\left(\left(4-5x\right)\left(2+x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of x(4-5x)(2+x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\left(4-5x\right)\left(2+x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4-5x and g=2+x. The derivative of the linear function is equal to 1. The derivative of a sum of two or more functions is the sum of the derivatives of each function.