Find the Derivative – d/dx e^(ex)

Math
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Exponential Rule which states that is where =.
Replace all occurrences of with .
Since is constant with respect to , the derivative of with respect to is .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Differentiate using the Power Rule which states that is where .
Multiply by .
Find the Derivative – d/dx e^(ex)

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