`f(x)` is cubic polynomial which has local maximum at `x=-1` .If `f(2)=18, f(1)=-1` and `f'(x)` has local minima at `x=0` ,then
(A) `4f(x)=19x^(3)-57x+34`
(B) `f(x)` is increasing for `x in [1,2sqrt(5)]`
(C) `f(x)` has local minima at `x=1`
(D) `f(0)=5`

If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=18,f(1)=-1 and f'(x) has minimum at x=0 then

Let f(x) be a cubic polynomial which is having local maximum at (1,2) and f'(x) has local extrema at x=0 .If f(0)=1 then

f(x) is cubic polynomial with f(x)=18 and f(1)=-1. Also f(x) has local maxima at x=-1 and f'(x) has local minima at x=0, then the distance between (-1,2) and (af(a)), where x=a is the point of local minima is 2sqrt(5)f(x) has local increasing for x in[1,2sqrt(5)]f(x) has local minima at x=1 the value of f(0)=15

A cubic polynomial function f(x) has a local maxima at x=1 and local minima at x=0 .If f(1)=3 and f(0)=0, then f(2) is

If f(x)=|x|+|x-1|-|x-2|, then-(A) f(x) has minima at x=1

let f(x)=(x^(2)-1)^(n)(x^(2)+x-1) then f(x) has local minimum at x=1 when