Discuss the applicability of Rolles theo...

Discuss the applicability of Rolles theorem for the following functions on the indicated intervals:
`f(x)=|x|in[-1,1]`
`f(x)=3+(x-2)^(2//3)` in [1,3]
`f(x)=tanx in [0,pi]`
`f(x)=log{(x^2+a b)/(x(a+b))}` in [a,b], where 0 less than a less than b

Similar Questions

Explore conceptually related problems

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 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 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]

Verify Rolle's theorem for the following f(x) = x^(3) -3x + 3 " in " 0 le x le 1

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]

Prove that the function are increasing for the given intervals: f(x)=sinx+tanx-2x ,x in (0,pi/2)