QPaperGen

We have,
\[
f(x) = e^x \Rightarrow f'(x) = e^x
\]
Since \( e^x > 0 \) for all \( x \in \mathbb{R} \), \( f'(x) \neq 0 \) for any real \( x \).
Therefore, there is no critical point \( c \in \mathbb{R} \) such that \( f'(c) = 0 \).
Hence, the function \( f(x) = e^x \) does not have any maximum or minimum.