Let f(x) be a polynomial of degree 3 ,such that f(1)=-6,f(-1)=10,f(x) has a critical point at x=-1 and f'(x) has a critical point at x =1,then f(x) has a local maxima at x

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(-1) = 10, f(1) = -6, f(x) has a critical point at x = -1 and f'(x) has a critical point at x = 1. Then f(x) has a local minima at x = ____

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 _________.

If f(x) is a polynomial of degree three such that f(0)=1,f(1)=2 and 0 is a f(x) critical point but f(x) does not have extremum at 0, then int(f(x))/(sqrt(x^(2)+7))dx is

The function f(x)=x^((1)/(3)) has stationary point at x=

Let f(x) be a polynomial of degree three f(0)=-1 and f(1)=0. Also,0 is a stationary point of f(x). If f(x) does not have an extremum at x=0, then the value of integral int(f(x))/(x^(3)-1)dx, is

If f(x) is a polynomial function of the second degree such tha f(0)=5, f(-1)=10 and f(1)= 6 then f(x)=_____.

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