Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » Courses » ap-calculus

Topic: [ap-calculus] one-sided derivatives
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Barbara De Roes

Posts: 502
Registered: 12/6/04
[ap-calculus] one-sided derivatives
Posted: Oct 26, 2012 11:44 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

This ap-calculus EDG will be closing in the next few weeks. Please sign up for the new AP Calculus
Teacher Community Forum at https://apcommunity.collegeboard.org/getting-started
and post messages there.
I'm curious how common is it for your students to make the following mistake:

suppose g(x) is defined in 2 pieces, and is not continuous at the break, such as
x+1 for x>2
x-3 for x<=2

when asked to evaluate g' from each side at 2, the student uses the value of the PIECE for g(2), namely g(2) = -1 from the left, but g(2) magically becomes 3 from the right.

I'm wondering if this is just one of those developmental things where the brain does a reset of prior knowledge, or if my precalc curriculum is unusually weak in this regard.

To search the list archives for previous posts go to

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.