Question

Max/Min Problem~ Help please
Problem attached below

Answer 1

So where do max and min points occur? When the slope is zero. See? So take the derivative, set it to zero and solve for those points that satisfy the situation.

Answer 2

how would you knw if there is an inflection point? @Kainui

Answer 3

Take the second derivative, since this tells you the change of the change in x. Which really boils down to, how does it change? So if it's increasing but stops increasing up and starts to head down, the second derivative will tell you that.

Answer 4

thank you!