How do you find the derivative of $y=xe^x$ ?

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Answer 1 · 2018-03-04T06:04:14

The derivative of y = $xe^x$ is y' = $e^x + xe^x$

Use the product rule (u'v + v'u) to calculate the derivative:

First, write the values of u, u', v and v':

u = $x$
u' = 1
v = $e^x$
v' = $e^x$

Next, substitute these values into the product formula:

(u'v + v'u)

(1 x $e^x$ ) + ( $e^x$ x $x$ ) = $e^x$ + $xe^x$

How do you find the derivative of y=xe^xy=xe^x?