Let (x) satisfy the required of Largrange's Meahn value theorem in [0,3]. If `f(0)=0 and |f'(x)| le (1)/(2) "for all" x in [0,2]` then

Let f(x) satisfy the requirements of Largrange's Mean Value Theorem in [0, 2]. If f(0) = 0 and |f'(x)| le (1)/(2) , for all x in [0, 2], then :

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0,2] and if f(0)=0 and f'(x)<=(1)/(2)

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0, 2] and if f(0)= 0 and f'(x)lt=1/2

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0, 2] and if f(0)= 0 and f'(x)lt=1/2

Let f(x) satisfy the requirements of Lagrange's mean value theorem in [0,1], f(0) = 0 and f'(x)le1-x, AA x in (0,1) then

Let f(x) satisfy the requirements of Lagrange's mean value theorem in [0,1], f(0) = 0 and f'(x)le1-x, AA x in (0,1) then

If f''(x) le0 "for all" x in (a,b) then f'(x)=0

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is