Find the Derivative - d/dt e^t

Problem

d(et)/d(t)

Solution

1. Identify the function to be differentiated, which is the natural exponential function et

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 is t the derivative remains et

Final Answer

d(et)/d(t)=et

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