Hey guys!

We've spent the last 5 classes using derivatives to study to graphically represent functions, but there are some functions which seem to give you a headache.

for example : $\displaystyle f(x)=\frac{(4-x)^3}{9(2-x)}$

i found where the function is defined ($\displaystyle (-\infty , 2)u (2 , +\infty)$),

i found the asimptotes ( it has only a vertical one at $\displaystyle x=2$) , but when I have to find monotony and extreme values I get stuck.

First I find the first derivative, then I have to make it equal to zero and then I'm left with $\displaystyle -3x^3+35x^2-135x+176=0$. how do I find x from here?

It sounds silly, but i'm kinda stuck.

Regards,

Rinor