Verify Rolles theroem f(x)= x3 - 6x2 +11x -6 on [1,-3] Share with your friends Share 0 Devesh Kumar answered this f(x)=x3-6x2+11x-6It is a polynomial function so it is continuous and derivable in its domain x∈R. Hence it is continuous in the interval-3,1.And derivable in the in the interval -3,1.f-3=-33-6-32+11-3-6 =-27-54-33-6=-120f1=13-6×12+11×1-6 =0f-3≠f1So rolles theorem is not applicable here. 0 View Full Answer R S Prasobh Sankar answered this The interval you've given is wrong . It should be [-3 , 1] ( smaller first ) . But then also , f(1) = 1 - 6 + 11 - 6 = 0 f(-3) = -27 - 6x9 -33 -6 ≠ 0. f(-3) ≠ f(1) . SO Rolle's theorem do not apply here . -1 Elsa answered this Thanks even i am getting the same answer! Just wanted to check it! ;) -1
