Linearity and ConcavityDate: 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. |
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