Home
Class 12
MATHS
Explain why Lagrange's mean value theore...

Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals :
`f(x)=(x+1)/x,x in[-1,2]`

Text Solution

Verified by Experts

The correct Answer is:
`x=(-1)/(3)`
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

Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals : f(x)=|3x+1|,x in[-1,3]

Explain why Rolle's theorem is not applicable to the following functions in the respective intervals. f(x)=|1/x|,x in[-1,1]

Explain why Rolle's theorem is not applicable to the following functions in the respective intervals. f(x)=tanx,x in[0,pi]

Explain why Rolle's theorem is not applicable to the following functions in the respective intervals. f(x)=x-2logx,x in[2,7]

Find the absolute extrema of the following functions on the given closed interval. f(x)=x^(3)-12x+10,[1,2]

Find the absolute extrema of the following functions on the given closed interval. f(x)=3x^(4)-4x^(3),[-1,2]

Integrate the following functions with respect to x . (3x-9)/((x-1)(x+2)(x^2+1))

Find the absolute extrema of the following functions on the given closed interval. f(x)=6x^(4/3)-3x^(1/3),[-1,1]