Zerouri consecutive ale sumei derivate

Moderators: Bogdan Posa, Laurian Filip, Beniamin Bogosel, Radu Titiu, Marius Dragoi

Post Reply
User avatar
Cezar Lupu
Site Admin
Posts: 612
Joined: Wed Sep 26, 2007 2:04 pm
Location: Bucuresti sau Constanta
Contact:
Contact Cezar Lupu

Zerouri consecutive ale sumei derivate

Post by Cezar Lupu »

Fie \( f, g \) doua functii diferentiabile pe un interval deschis. Sa se arate ca intre doua zerouri consecutive ale lui \( f \) exista un zerou al lui \( f^{\prime}+fg^{\prime} \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
Top
Virgil Nicula
Euler
Posts: 622
Joined: Fri Sep 28, 2007 11:23 pm

Post by Virgil Nicula »

Se considera functia \( h(x)=f(x)\cdot e^{g(x)}\ ,\ x\in I \) si se aplica teorema Rolle.
Top
Post Reply

Return to “Analiza matematica”