Home
Class 12
MATHS
Verify Lagrange's mean value theorem for...

Verify Lagrange's mean value theorem for `f(x) = (1)/(x) " in " [1, 2]`

Text Solution

Verified by Experts

The correct Answer is:
`k=(a+b)/(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.4|4 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.5|12 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.2|10 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

Verify Lagrange's theorem for f(x) = x^((2)/(3)) " in " [-2, 2]

The value of c in Lagrange's mean value theorem for the function f(x) = x^(2) + 2x -1 in (0, 1) is

Verify Lagrange 's law of the mean for f(x) = x^(3) on [-2, 2].

Show that the value in the conclusion of the mean value theorem for f(x) = (1)/(x) on a closed interval of positive number [a,b] in sqrtab

Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)-5x^(2)-3x in [1, 3]

Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) _ 2x in [1, 3]

Find c of Lagranges mean value theorem for the function f(x)=3x^2+5x+7 in the interval [1,3]dot

Verify Euler's theorem for f(x,y) = (1)/(sqrt(x^(2)+y^(2)))

Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)+x^(2)-x-1, [0, 2]