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

Let f(x)=max{tanx, cotx} . Then the number of roots of the equation f(x)=(1)/(2)" in "(0, 2pi) is

Let f(x)=max{tanx, cotx} . Then the number of roots of the equation f(x)=(1)/(2)" in "(0, 2pi) is

Let f:R rarr R be a differentiable function such that f(a)=0=f(b) and f'(a)f'(b)>0 for some a

Let f(x) be a polynomial satisfying f(0)=2f'(0)=3 and f'(x)=f(x) then f(4) equals

Let f be a function such that f(x).f\'(-x)=f(-x).f\'(x) for all x and f(0)=3 . Now answer the question:Number of roots of equation f(x)=0 in interval [-2,2] is (A) 0 (B) 2 (C) 4 (D) 1

Let f be a function such that f(x).f\'(-x)=f(-x).f\'(x) for all x and f(0)=3 . Now answer the question:Number of roots of equation f(x)=0 in interval [-2,2] is (A) 0 (B) 2 (C) 4 (D) 1

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.