# What is the derivative of #xe^x#?

##### 2 Answers

Feb 6, 2016

#### Answer:

#### Explanation:

Feb 6, 2016

#### Answer:

#e^x (x+1)#

#### Explanation:

differentiate using

#color(blue)(" product rule ") #

# d/dx(xe^x) = x d/dx(e^x) + e^x d/dx (x) # [now

#d/dx(e^x) = e^x # ]

#rArr d/dx(xe^x) = xe^x + e^x = e^x( x + 1 ) #