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  4. The Rolle's theorem is applicable in the interval -1 ≤ x ≤ 1 for the function

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Q. The Rolle's theorem is applicable in the interval $-1 \leq x \leq 1$ for the function

Continuity and Differentiability

Solution:

Let $f(x)=x^2$
$\therefore f(1)=f(-1)=1$
Also, $f(x)$ is continuous and differentiable in the given interval.