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

If f(x)=(x-1)(2x-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]

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)

If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4) , then f'(0)=1

If f(x) = (1)/(2x-1) , x ne (1)/(2) , then show that : f(f(x)) = (2x-1)/(3-2x) , x ne (3)/(2)

If f(x)={(3x-1),x>=1,(2x+3),x =2} then lim_(x rarr2)f(g(x))=

If f (x )= (x-1) ^(4) (x-2) ^(3) (x-3) ^(2) then the value of f '(1) +f''(2) +f''(3) is:

If f (x )= (x-1) ^(4) (x-2) ^(3) (x-3) ^(2) then the value of f '(1) +f''(2) +f''(3) is:

If f(x-1)=f(x+1) , where f(x)=x^2-2x+3 , then: x=

If f (x) = 1/(2x+1), x ne -1/2 , then show that , f(f (x)) = (2x+1)/(2x+3), x ne -3/2 .