Derivative Interview

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

Pick a random graph and do not show it to your classmates at any time. Carefully examine the graph you are given. The function you are holding could be the derivative of somebody else’s function but it could also be an anti-derivative, or both! In this activity you will spend some time preparing a set of questions that will help you in your investigative task of searching for a match. You will interview everyone in the classroom. When you are absolutely certain that you have determined a match, ask your course instructor to observe a simple re-run of the interview. Focus on what you have learnt so far about increasing and decreasing behavior, concavity, and the derivative. Refrain from asking pre-calculus questions (domain, range, end behavior, x and y intercepts). For example, questions of the following format are strongly recommended: •

•

“Are your y-values positive between 1 and 2?” (If your own graph is increasing over this interval, this confirms your suspicion that you could be interviewing the holder of the derivative of your function.) An affirmative answer to the first question could also mean that, if your function is concave up on the given interval, you could be interviewing the holder of the second derivative of your function.) “Is your function defined at x = 1?” If your function has a corner at x=1 or the derivative does not exist, this would be a good question to ask when searching for a derivative.

Prepare two sets of questions, one assuming you are holding somebody’s derivative, and the other assuming you are the anti-derivative (i.e. somebody has your derivative function).

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

BPH

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

SRY

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

BRB

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

LTG

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

DOA

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

IDK

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

LTX

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

IAC

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

WDA

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

MLA

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

INR

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

CIB

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

JLO

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

ETS

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

DIY

AP CALCULUS AB | 2008 | SHUBLEKA | FIND THE DERIVATIVE MATCH    

LPN