Answer on Question #47615, Math, Differential Calculus - Equations Let u=2sin(x) and v=β4xβ8. Find the derivative of their product with respect to x. ddx(uv)=?? Solution π ππ’ ππ£ (π’π£) = π£ +π’ ππ₯ ππ₯ ππ₯ π’ = 2 sin π₯ π£ = β4π₯ β 8 ππ’ π (2 sin π₯) = 2 cos π₯ = ππ₯ ππ₯ ππ£ π (β4π₯ β 8) = β4 = ππ₯ ππ₯ Finally: π (π’π£) = (β4π₯ β 8) β 2 cos π₯ + 2 sin π₯ β (β4) = β8(π₯ cos π₯ + 2 cos π₯ + sin π₯) ππ₯ Answer: π ππ₯ (π’π£) = β8(π₯ cos π₯ + 2 cos π₯ + sin π₯) https://www.AssignmentExpert.com
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