Question

F is differentiable on [0,2] and f(0)=0,f(1)=2,f(2)=1.Prove that f'(c)=0 for some c in [0,2]

Answer 1

Answer:

According to the roll theorem=>

(i) Function will be continuous in [0,2] .

(ii) Function will be differentiable in [0,2]

(iii) Than F'(c) = 0 , where c in [0,2]