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

Math
Differentiate using the chain rule, which states that is where and .
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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.
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Differentiate using the Power Rule which states that is where .
Simplify by adding terms.
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Multiply by .
Add and .
Reorder the factors of .
Find the Derivative – d/dx y = natural log of e^x+xe^x

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