Step 1: Identify the function given in the question, which is f(x) = e^x.
Step 2: Understand that f'(x) represents the derivative of the function f(x).
Step 3: Calculate the derivative of f(x). The derivative of e^x is e^x, so f'(x) = e^x.
Step 4: Now, we need to find f'(0). This means we will substitute x = 0 into the derivative we found.
Step 5: Substitute x = 0 into f'(x): f'(0) = e^0.
Step 6: Calculate e^0. The value of e^0 is 1.
Step 7: Therefore, f'(0) is equal to 1.
Differentiation of Exponential Functions – Understanding how to differentiate the exponential function f(x) = e^x and evaluate it at a specific point.
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