Home
Class 12
MATHS
If f(x) satisfies the requirements of La...

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`

A

`f(x)le2`

B

`|f(x)|le2x`

C

`|f(x)|le1`

D

`f(x)=3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise EXAMPLE|6 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|10 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

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

Lagranges's mean value theorem is not applicable to f(x) in [1,4] where f(X) =

Disuss the applicability of Lagrange's Mean Value Theorem to f(x) = cos x in [0,pi/2]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x^2 - 1 on [1,2]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x^2 on [2,4]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = 2x-x^2 in [0,1]

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x^2-2x+3 in [0,4]

Verify Lagrange's mean value theorem for the function f(x) = x (x - l ) (x - 2) in the interval [0,1/2] .

Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x^2-4x-3 in [1,4]

Verify Lagrange's Mean value Theorem (LMV.) for the function f(x) = x(2-x) in [0,1]