180 Days of Ideas for Discussion in Math Class.
(as of 9July2014, we're in overtime!)
Tuesday, April 16, 2019
519: Concavity
I have a question that will help me understand the fundamental definition of concavity. If we have y=x^4, can we say that is concave up from (-inf, +inf) or do we need to say (-inf,0)U(0,+inf)?
The second derivative will give x = 0 as an inflection point with y" > 0 on (-inf, 0) and (0, +inf) .Since the function is continuous at x = 0, the function is concave up from -inf to +inf.
The second derivative will give x = 0 as an inflection point with y" > 0
ReplyDeleteon (-inf, 0) and (0, +inf) .Since the function is continuous at x = 0, the function is concave up from -inf to +inf.