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

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

Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.

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 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

Let f(x) is a cubic polynomial which is having local maximum at (1, 2) and f'(x) has local extremum at x = 0. If f(0) = 1 then answer the following Number of real roots of the equation f(x) - f(-x) = 6x - 10 is

Let f(x) be a cubic polynomial such that it has point of inflection at x=2 and local minima at x=4, then-