Examine whether Rolle's theorem is applicable to the following functions in the given intervals :
`f(x)=cot x" in " -(pi)/(2) le x le (pi)/(2)`

Examine whether Rolle's theorem is applicable to the following function in the given intervals: f(x) = cos x in - pi/2 le x le pi/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

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=1+(x-3)^((2)/(3))" in " 2 le x le 4

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

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

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

Examine whether Rolle's theorem is applicable to the function f(x) = cot x in -pi/2le x le pi/2

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

Show that Rolle's theorem is not applicable to the following functions in the specified intervals: f(x)={(x^(2)+1" when " 0 le x le 1),(3-x" when "1 lt x le 2):}

Show that Roll's theorem is not applicable to the following function in the interval 0 le x le 2 : f(x)={(" "2x" when " x le 1),(4-2x" when "x gt 1):}