Are their any examples of functions with more than one local maximum?
2007-09-15 12:55:48 · 5 answers · asked by sam 2 in Science & Mathematics ➔ Mathematics
yes, they are called relative minima and maxima.
example iis x^3
remember to test for absolute maxima, aside from derivative = 0 you need to test the boundary condtions.
2007-09-15 13:02:30 · answer #1 · answered by dbondocoy@yahoo.com 3 · 0⤊ 0⤋
Hi,
Yes, for example the function f(x) = -2x^4 +6x^2 has local maxima at -1.22 and +1.22 and a local minimum at x = 0 as you can see by setting x = 0. If you have a graphing calculator, you can change the value of the coefficient of x^2 and see how this affects the local maixma.
Hope this helps.
FE
2007-09-15 20:13:29 · answer #2 · answered by formeng 6 · 0⤊ 0⤋
How about y = sin(x) ? That has a local maximum every 2*pi.
2007-09-15 20:18:53 · answer #3 · answered by drslowpoke 5 · 0⤊ 0⤋
precalc? if so i feel your pain. I dont really know what a local maximum is but they can have more than one maximum
2007-09-15 19:58:59 · answer #4 · answered by Catmandu 5 · 0⤊ 0⤋
Yes, it can. The following link has an example.
2007-09-15 20:33:45 · answer #5 · answered by cidyah 7 · 0⤊ 0⤋