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

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

Leg f(x) be a cubic polynomial which has local maximum at x=-1 and f(x) has a local minimum at x=1. If f(-1)=10 and f(3)=-22, then one fourth of the distance between its two horizontal tangents is

Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x) has a local minimum at x =1, If g (-1) =10 g, (3) =- 22, 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

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 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 _________.