Find the Derivative - d/dy e^y

Problem

d(ey)/d(y)

Solution

1. Identify the function to be differentiated, which is the natural exponential function ey with respect to its variable y

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

3. Conclude that since the variable of differentiation matches the exponent, no chain rule is required beyond the basic rule.

Final Answer

d(ey)/d(y)=ey

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