In the function $$y=(k-x)e^x ,$$
What is the effect of $k$ on the turning point of the function? I can't see any clear pattern when I change the variable.
What are some real-life scenarios to which this relationship could be applied?
Thanks!
2026-05-05 06:27:53.1777962473
Effect of $k$ on turning point?
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I take it the "turning point" is the local maximum or minimum, which, by calculus, we know is where the derivative is zero. The derivative is $(k-x-1)e^x$. That's zero when $x=k-1$. So there's the effect on the turning point; it occurs at $k-1$.