Find the Derivative - d/dx f(x)=e^x

Problem

d(e^x)/d(x)

Solution

1. Identify the function to be differentiated, which is the natural exponential function ƒ(x)=e^x

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

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

Final Answer

d(e^x)/d(x)=e^x

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