Solution assignment 08 Product and Quotient rule

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Assignment 8

Differentiate:

y=xe^x+e^x

Solution

This function can be differentiated term by term, but it is a bit easier to factor out the e-power first. This yields:

y=(x+1)e^x

Next the resulting function has to be differentiated. We apply the product rule and get:

1\cdot{e^x}+(x+1)e^x=(x+2)e^x

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