Register to reply

Maximum and minimum

by minia2353
Tags: maximum, minimum
Share this thread:
May24-10, 12:40 AM
P: 13
1. The problem statement, all variables and given/known data

prove: if f(x) bigger or the same as 0 on an interval I and if f(x) has a maximum value on I at x0(0 is written small beside the x), then sqrt of f(x) also has a maxsimum value at x0. Similarily for minimum values. Hint: Use the fact that sqrt of x is an increasing function on the interval zero to plus infinity.

2. Relevant equations

3. The attempt at a solution
Phys.Org News Partner Science news on
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
May24-10, 07:53 AM
Sci Advisor
PF Gold
P: 39,682
Looks pretty direct to me. If [itex]f(x_0)[/itex] is a maximum for f, then [itex]f(y)\le f(x_0)[/itex] for all y.Since square root is an increasing function, [itex]\sqrt{f(y)}\le \sqrt{f(x_0)}[/itex].

Register to reply

Related Discussions
Getting the maximum and the minimum with now Fun, Photos & Games 2
Maximum and minimum value Calculus & Beyond Homework 8
Minimum and maximum of an equation Calculus & Beyond Homework 2
Maximum and Minimum Calculus & Beyond Homework 6
Help with more optimization please, Maximum/minimum Calculus & Beyond Homework 12