If `f(x)= (x-a)(x-b)(x-c)(x-d)` , then minimum number of roots of the equation `f''(x)=0` is

Let f(x) be a non - constant polynomial such that f(a)=f(b)=f(c)=2. Then the minimum number of roots of the equation f''(x)=0" in "x in (a, c) is/are

Determine the number of real roots of the equation , f(x) = x+e^(x)

f(x) is an even function symmetrical with respect to line x=2 such that f(x)=x^(2)AA x in[0,2], then minimum number of solutions of the equation f(x)=3 in [2000,2018] is

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

The two roots of the equation f(x)=f((x+8)/(x-1)) are :

let f (x) = int _(0) ^(x) e ^(x-y) f'(y) dy - (x ^(2) -x+1)e ^(x) Find the number of roots of the equation f (x) =0.

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0