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]

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]

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]

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=|x|" in " -1 le x le 1

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)=1-root(3)(x^(2))" in " -1 le x le 1

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)=|x-1|" in " 0 le x le 2