MAT 21A Lecture Notes - Lecture 25: Mean Value Theorem, Twill, Qoph
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Before introducing the mean ohne theron we must. Suppose fca is a function that satisfies all of the i y 9 continuous on the closedintervalea b. Acc b and f cc far has a number c such that. O or in other words a critical point in ca b. Suppose f ch is afunction that satisfies both ofthefollowing. 1 pms is continuous on the closedinterval a b. 2 far is differentiable on the open intercal carb ac c c b and c such that. Then there is a f lo fcb f or a c lb a. Notethat the nut doesnt tell us what c is it only least one number c that will tells satisfy the conclusion of the theorem that there is at f b fla us f. Time to show this geometrically f coy fcbyzaf. 0 hasetaetlyrode solution we define the antineous function. The in vt the x axis somewhere in theopenintervalc l o that us.
