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 which states that is where .

Simplify by adding terms.

Multiply by .

Add and .

Reorder the factors of .

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