[f(x)=e^(x)" on "[0,1]],[" lagrange's mean value theorm "]

Let f(x)=1+|x-2|+sin x, then lagrange's means value theorem is applicable for f(x) in.

For the function f(x) = (x-1) ( x-2) ( x-3) in [0,4], value of 'c' in Lagrange's mean value theorem is

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