# How do you differentiate #xe^x#?

##### 1 Answer

Mar 18, 2016

#### Answer:

Use the product rule.

#### Explanation:

The Product rule (for derivatives) says that for differentiable functions,

In this question, we have

# = e^x+xe^x# #" "# which you may prefer to write as

# = e^x(1+x)# or as#e^x(x+1)# or in some other way.