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# Calculus BC 2008 2 b &c

Parts 2b and 2c of the 2008 BC exam (free response). Created by Sal Khan.

## Want to join the conversation?

• how do i get a ti 85 emulator? :D
• Is there a video about the mean value theorem?
• Yes, you can find some in AP®︎/College Calculus AB, Unit 5: Applying Derivatives To Analyze Functions, Lesson 1.
(1 vote)
• How do u get from 0 to 9?
• Did you watch the video to find out? That is what it was about.
• At , Sal says "the derivative is continuous." Can someone provide context for this statement? Thanks for any insight!
(1 vote)
• it means that its not a function like abs(x) where the derivative-the slope-is negative on one side and positive on the other and thus does not exist-at that point of x=0.
• For 2.c) are there not 4 times when L'(t) is equal to zero? Since the bounds are 0 =< t =< 9, and if you were to continue the function past t=9 it would be constantly zero, since all of the tickets are sold out by t=9. I'm not 100% sure but doesn't this mean that t+9 is another minima/zero value?
(1 vote)
• Since you have no information beyond the terminal interval value `t = 9`, you cannot make any conclusions regarding the derivative at `t = 9`.
(1 vote)