post 6

i understood all the beginning of the week but when we got to optimization i was a little confused. i understand Rolle's Theorem which gives the conditions that guarantee the existence of an extema in the interior of a closed interval. and i understand mean value theorem which just states that a continuous function on a closed interval must have both a max or min on the intervavl.You find out if it is continuous and differentiable between the interval. If not, you cannot use this theorem. If no interval just use the x-intercepts. plug in both interval points. These must equal each or you cannot use this theorem. Then take the derivative, set it equal to 0 and solve for x, and you get your critical values. (make sure the points fall between the interval)

I understand Mean Value Theorem which just says if f is continuous on the closed interval [a.b] and differentiable on the open interval (a,b), then there exists a number c in (a,b) such that f^1(c)=f(b)-f(a)/b-a.

All you do is make sure it is continuous and differentiable between the interval. (if not you cannot use this theorem) Then find the slope using f^1(c)=f(b)-f(a)/b-a. Then take the derivative and set it equal to the slope and solve for x. This gives the critical points. (make sure the points fall between the interval)

im not too sure about optimization and some of the stuff that goes w/ it. if anyone wants to help w/ that holla at me :)