The function f(x) = e^x has:
Model Answer & Options
Source: Extra PracticeOne local maximum
One local minimum
No local maxima or minima
Infinite critical points
Explanation
To find local extrema, we look for f'(x) = 0. For f(x) = e^x, f'(x) = e^x. However, e^x is always greater than 0 for all real values of x and never equals zero. Since there are no critical points where the derivative is zero or undefined, the function has no local maxima or minima.
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