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how to find the derivative of y=5xe^x-5e^x

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how to find the derivative of y=5xe^x-5e^x

derivative-of-a-function

asked Nov 30, 2013 in CALCULUS by payton Apprentice

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1 Answer

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Recall the formula d/dx (e^x) = e^x

d/dxuv = udv/dx+vdu/dx

y = 5xe^x-5e^x

Apply derivative to each side with respect of x.

dy/dx = d/dx(5xe^x-5e^x)

= d/dx(5xe^x)-d/dx(5e^x)

= 5(xe^x+e^x)-5e^x

= 5xe^x+5e^x-5e^x

= 5xe^x

answered Nov 30, 2013 by william Mentor

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