Q. The Rolle’s theorem is applicable in the interval $- 1 \leq x \leq 1$ for the function
A) $f(x) = x$
B) $f(x) = x^{2}$
C) $f(x) = 2x^{3} + 3$
D) $f(x) = |x|$
Explanation
(b)
Let $f(x) = x^{2}$,
$\therefore\ \ \ f(1) = f( - 1) = 1$
Also, $f(x)$ is continuous and differentiable in the given interval
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.