Maple help (min/max value problem)

[Firben]

Hello

How can i find maximum and minimum values with help of Maple ? and asymptotes or inflextion points ? I am new to Maple.

Ex lnx/x (x>0)

How ?

 

[SHScanuck]

There are a few ways of finding the maximum and minimum values of a function in Maple. This is one of the ways I know how to do it.

defining the function

>f:=x→ln(x)/x;

Plotting the function

>plot(f(x), x=1..10);

differentiating the function

>df:=diff(f(x),x);

finding the maximum or minimum relates to where df = 0

>xmax := evalf(solve(df=0,x));

Determine the maximum

>evalf(f(xmax));

Hope this helps you. Thanks