# Find the Derivative – d/dx y = natural log of e^x+xe^x

Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Exponential Rule which states that is where =.
Differentiate using the Product Rule which states that is where and .
Differentiate using the Exponential Rule which states that is where =.
Differentiate using the Power Rule.
Differentiate using the Power Rule which states that is where .