Find the Derivative - d/dx e^x

Problem

d(ex)/d(x)

Solution

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

2. Apply the rule for the derivative of the exponential function, which states that the derivative of ex with respect to x is the function itself.

3. Conclude that no further simplification or chain rule application is required since the exponent is simply x

Final Answer

d(ex)/d(x)=ex

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