Linearity and Concavity
Date: 12/07/2003 at 17:32:44 From: Ted Subject: Calculus Question Why does a linear function have no concavity?
Date: 12/07/2003 at 18:26:09 From: Doctor Schwa Subject: Re: Calculus Question Hi Ted, Concavity tells you whether a function is curving upward (increasing slope) or downward (decreasing slope). Since a line has constant slope, it's not concave up or down. Another way to say it is that concavity tells you whether the second derivative is positive or negative, and a line has second derivative zero. Does that help? - Doctor Schwa, The Math Forum http://mathforum.org/dr.math/
Date: 12/08/2003 at 08:23:21 From: Ted Subject: Thank you (Calculus Question) Thank you so much! That clears everything up.
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994-2013 The Math Forum