f(x)=(x-1)(x-2)(x-3)" in "[1,3]

If f(x)=(x-1)(x-2)(x-3), x in [1,3] , then

Check whether the conditions of Rolle's theorem are satisfied by the following functions or not : f(x)=(x-1)(x-2)(x-3),x in [1, 3]

If f(x)=(x-1)(2x-3), x in [1,3] , then

Check whether the condition of Rolle's theorem are satisfied by the following functions or not: f(x) = (x-1)(x-2)(x-3) , x in (1,3)

Check the applicability of Rolle's theorem for f(x) = (x-1) (2x-3), x in (1, 3)

Let f(x) = (x-1)(x-2)(x-3) on the interval [1,3]. Prove that there is more than one c in (1,3) such that f'©=0

Let f(x)=(x-1)(x-2)(x-3) on the interval [1, 3]. Prove that there is more than one c in (1, 3) such that f'( c) = 0.

Domain of the function f(x)=(sqrt(3-x))/((x-1)(x-2)(x-3))+sin^(-1)[(3x-2)/(2)]

If [x] denotes the integral part of x, then domain of the function f(x)=(sqrt(3-x))/((x-1)(x-2)(x-3))+Sin^(-1)((3x-2)/(2))