Do the following functions satisfy the conditions of the Rolle theorem ?
(a)`f(x)=1-root3(x^(2))"in" [-1,1],`
(b)`f(x) "in sin x in " [ pi //6 , 5pi//6],`
(c ) `f(x) = 1 - |x| " in" [-1,1]` .

Answer

No ,since the derivative is non -existent at the point 0