Re: max and min

*To*: mathgroup at smc.vnet.net*Subject*: [mg87480] Re: max and min*From*: Bill Rowe <readnews at sbcglobal.net>*Date*: Fri, 11 Apr 2008 01:46:55 -0400 (EDT)

On 4/10/08 at 2:14 AM, amorales at lme.usp.br (Ary Adilson Morales Alvarado) wrote: >How I can to obtain the maximum and minimum values in a function >like a Sin, but that varying their frequency with the time. The most direct way to find the minimum and maximum of any function is to use Minimize. Using Sin as an example, a minimum is: In[4]:= Minimize[Sin[x], x] Out[4]= {-1, {x -> (3*Pi)/2}} and a maximum is: In[5]:= Minimize[-Sin[x], x] Out[5]= {-1, {x -> Pi/2}} Alternatively, you can compute the derivative of your function and use FindRoot, Reduce, Solve etc. Again using Sin as an example: In[6]:= Reduce[D[Sin[x], x] == 0, x] Out[6]= Element[C[1], Integers] && (x == 2*Pi*C[1] - Pi/2 || x == 2*Pi*C[1] + Pi/2) finds all of the minima/maxima