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Victorcastrejon · (This post was last modified: 08-21-2024 10:04 AM by Victorcastrejon.)

Is there any command that can make it easier to find the maximum value that a function can reach on an interval?
Or, alternatively, is there any program that by entering the function and the interval allows to find the x that gives the maximum value for the function on that interval?
Thanks,
Victor

parisse · 08-21-2024, 10:13 AM

fMax will help you find the abscissa of the max value.
Example fMax(sin(x),x=0..pi)

Victorcastrejon · 08-21-2024, 12:11 PM

Many thanks!

Victorcastrejon · 08-21-2024, 12:35 PM

I tried fMax(1/120*x^5*COS(x),x=0..1) in a program and I've got a syntax error at x=0??
any idea?

Victorcastrejon · 08-21-2024, 01:10 PM

I just tried with CAS("fMax(1/120*x^5*COS(x),x=0..1)") in a program and in spite there are no erros when cheking the program, this, can't be executed ???
any idea?

KeithB · 08-21-2024, 01:40 PM

Is x already defined?

Victorcastrejon · (This post was last modified: 08-21-2024 04:43 PM by Victorcastrejon.)

x is defined.
Actually, when executing CAS("fMax(1/120*x^5*COS(x),x=0..1)") in a program and in spite there are no errors when checking the program the outcome is "undef".
I guess the reason has to do with the algorithm of fMax.
If you execute manually on the command line fMax(1/120*x^5*COS(x),x=0..1) you get a warning message although eventually the outcome is 1 which is correct.
So it looks like this warning leads into a "undef" outcome if executed in a program even in a CAS environment.
Any suggestion?