Home
Class 12
MATHS
Value of 'c' in LMV Theorem for f(x)=x^(...

Value of 'c' in LMV Theorem for `f(x)=x^(2)" on "[2,4]` is ________.

Text Solution

Verified by Experts

The correct Answer is:
c = 3
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTION)|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS)|30 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Verify L.M.V. theorem for f(x)=x(x-2)" on "[1,3]

Value of c of Rolle's theorem for f(x)=log(x^(4)+3) on [-1,1]

The value of c in mean value theorem for the function f(x)= x^2 in [2,4] is

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

The constant c of Lagrange’s theorem for f(x)=(x)/(x-1)" in "[2,4]" is :"

Values of c of Rolle's theorem for f(x)=sin x-sin 2x on [0,pi]

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

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

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

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