Find the Derivative - d/du e^u

Problem

d(eu)/d(u)

Solution

1. Identify the function to be differentiated, which is the natural exponential function eu with respect to its exponent u

2. Apply the rule for the derivative of the natural exponential function, which states that the derivative of eu with respect to u is the function itself.

3. Conclude that no further simplification or chain rule application is necessary since the differentiation is with respect to the variable u

Final Answer

d(eu)/d(u)=eu

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