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!
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!
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 $k-1$.