I'm trying to use the CriticalPoints command from the Student[Calculus1] package to determine the critical points of f(x) = x^2 * ln(x).

My issue is this. A critical point is defined as a value of x in the domain of f(x) where either f'(x)=0 or f'(x) does not exist. Clearly x=0 is not in the domain of f(x) = x^2*ln(x). How may I "trick" Maple into returning only the value exp(-1/2)?  As seen above, my attempt to use the assuming command proved futile.

More troubling, however, is whether or not the CriticalPoints command is using the correct definition to compute critical points. Can anyone shed some light on this?

Download critpts.mw

I am trying to illustrate the effects of using finite-precision arithmetic on solving certain linear systems using elementary row operations. I am able to set Digits to the desired level and use the RowOperation command for each individual row operation. I would like to be use say, ReducedRowEchelonForm or LinearSolve with the desired level of precision. Is there anyway to force Maple to use whatever number of digits when using commands like ReducedRowEchelonForm or LinearSolve?...

I am trying to use the procedure described in the answers to this question: 

http://www.mapleprimes.com/questions/100137-Solving-Trigonometric-Equations-For

to find the solutions to sin(2*x) = 1/2 where -2*Pi <= x <= 2*Pi. After the isolve() command is issued, I get the warning that solutions may have been lost. i think the issue is the form in which Maple represents the general solution to the equation. Any ideas on how to rectify this would be greatly appreciated!

I am attempting to apply some routine tests to determine the convergence of series with positive terms. I have run into a little difficulty with the root test. I am using surd( ) as shown below, but Maple will not give the exact value, which in my example, should be exp(6). Why is this happening and is there a way to get the root test to work?

Thanks!

I am wondering if there is a way to create a pdf from a Maple worksheet that has an animation, or in the case of Maple 17, a video, that allows the viewer of the pdf to play the animation/video.

Thanks!