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)<=(1)/(2)

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 :

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

Verify Lagranges mean value theorem for f(x)=x(x-1)(x-2) on [0,\ 1/2]

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

Verify Lagranges mean value theorem for f(x)=2sinx+sin2x on [0,\ pi]

The value of ′c′ in Lagrange's mean value theorem for f(x) = x(x−2)^2 in [0,2] is-