here's the function: $f(t) = -t^3 + 7t^2 + 200t$
how can I calculate the max $y$ value of a function for $x\in [0,4]$ range? Trying one-by-one manually?
And, I've tried to calculate the gobal min and max: $-6.158, 10.82$, and then the inflection point: $7/3$, so, this inflection point should be the max point between $-6.158$ and $10.82$, right? but it's not, because when I test the function with $x=3$, I get a greater value that what I get when setting $x = 7/3$. Why?