If $f(x_{i}).f(x_{i+1})< 0$ then

GATE · 1987 · CS · Question 1 subparts

1. A.

   There must be a root of $f(x)$ between $x_i$ and $x_{i+1}$

2. B.

   There need not be a root of $f(x)$ between $x_{i}$ and $x_{i+1}$

3. C.

   There fourth derivative of $f(x)$ with respect to $x$ vanishes at $x_{i}$

4. D.

   The fourth derivative of $f(x)$ with respect to $x$ vanishes at $x_{i+1}$

Attempted by 1 students.