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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