Description: The calculator for function investigation cannot find
stationary points for the function like y=x+acot(x). This is related to
the fact that maxima 5.13 returns error for acot(0.0)
http://user.mendelu.cz/marik/maw/index.php?form=prubeh

Solution: Use newer maxima. However, newer maxima is slower and it will
not be installed on our primary server.

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Description: Derivative of
asin(sin(x*log(3*x**5-3*x**(-5)))-3*log(sin(x*log(3*x**5-3*x**(-5))))) 
fails (more preciselly: is too long and refused after 10 sec)

http://wood.mendelu.cz/math/maw/derivace/derivace.php?lang=cs&ip=78.98.56.92&referer=&funkce=arcsin%28sin%28x*ln%283*x%5E5-3*x%5E%28-5%29%29%29-3*ln%28sin%28x*ln%283*x%5E5-3*x%5E%28-5%29%29%29%29%29&akce=0

Solution: Use your own server and increase time limit.

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Description:

radcan simplifies derivative of asin((x+1)/(x-1)) in and incorrect way
( sqrt(x^2-2*x+1) is simplified into x-1, not abs(x-1) )

Solution: Do not trust everything computed by CAS or install MAW on your
server and remove radcan from the chain called when simplifying
derivative

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Description 

y''+2y'+y=ln(x) fails


Explanation: Maxima 5.21 returns incomplete_gammafunction(a,b) and the comma in this function puzzles the 
parses of the answer. The same problem could occur on more places. Needs a big rewrite :(