[tex]f(x): x^3-3x^2+4x+1;
\:\
f'(x): 3x^2-6x+4 = 0
D= b^2-4ac =\ \textgreater \ 36 - 48 = -12 \ \textless \ 0 Deci nu are radacini reale
Tabel:
x: -ifninit\:\ \:\ \:\ \:\ \:\ x \:\ \:\ \:\ \:\ \:\ +infinit
--------------------------------------------------------
f'(x): ++++++++++++++++++++
--------------------------------------------------------
f(x): \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\ \uparrow \:\
[/tex]