Why Do (ex2-1)1/2 and (ex2-1) Have the Same Minima/Maxima?

[phymatter]

what is the reason that the minima and maxima of ( e^x2 -1 )^1/2 and ( e^x2 -1 ) are the same ??

 

[TylerH]

How do you find the max and min of a function?

 

[tiny-tim]

hi phymatter!

this has nothing to do with calculus …

if g is a monotone increasing function, then the maxima and minima (and the local maxima and minima) of g(f(x)) and f(x) will be the same …

now prove it! ​

 

[phymatter]

hi phymatter!

this has nothing to do with calculus …

if g is a monotone increasing function, then the maxima and minima (and the local maxima and minima) of g(f(x)) and f(x) will be the same …

now prove it! ​

thanks tiny-tim! :)