A cubic function `f(x)` vanishes at `x=-2` and has relative minimum/maximum at `x=-1a n dx=1/3ifint_(-1)^1f(x)dx=(14)/3dot` Find the cubic function `f(x)dot`

A cubic function f(x) tends to zero at x=-2 and has relative maximum/ minimum at x=-1 and x=(1)/(3). If int_(-1)^(1)f(x)dx=(14)/(3). Find the cubic function f(x).

A cubic polynomial y=f(x) has a relative minimum at x=1& maximum at x=-2. If f(0)=1 then

Let f(x) be a cubic polynomial such that it has maxima at x=-1 , min at x=1 , int_-1^1 f(x)dx=18 , f(2)=10 then find the sum of coff. of f(x)

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

The function f(x)=(x-1)^(2) has a minimum at x is equal to

f(x) is a cubic function with f(1)=-6,\ f(-1)=10 , and has maxima at x=-1. Also, f^(prime)(x) has minima at x=1. Find f(x)dot

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

int_(n)^(n+1)f(x)dx=n^(2)+n then int_(-1)^(1)f(x)dx=

If a function f is continuous for all x and if f has a relative maximum at (-1,4) and a relative minimum at (3,-2), then which of the following statements must be true?