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

Let f(x) be a cubic polynomial such that x=1 is a repeated root of order 2 and x=(5)/(3) is a point of local Minima.If int_(0)^(1)f(x)dx=(-7)/(12) then

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

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 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 polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.

Let f(x) be a polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.

(x)/(2)+(2)/(x) has local minima at

Let f(x) be a cubic function such that f'(1)=f''(2)=0 . If x=1 is a point of local maxima of f(x), then the local minimum value of f(x) occurs at