Value of ‘c’ of Rolle’s theorem for f(x)=x2+1, when o≤x≤13−x, when 1<x≤2

f(x)=x2+1, when o≤x≤13−x, when 1<x≤2f is not differentiable at x = 1.⇒The value of C doesn’t exists.

Value of ‘c’ of Rolle’s theorem for f(x)=x2+1, when o≤x≤13−x, when 1<x≤2

f(x)=x2+1, when o≤x≤13−x, when 1<x≤2f is not differentiable at x = 1.⇒The value of C doesn’t exists.

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Value of ‘ $c$ ’ of Rolle’s theorem for $f (x) = \{\begin{cases} x^{2} + 1, when o \leq x \leq 1 \\ 3 - x, when 1 < x \leq 2 \end{cases}$

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$f (x) = \{\begin{cases} x^{2} + 1, when o \leq x \leq 1 \\ 3 - x, when 1 < x \leq 2 \end{cases}$

$f$ is not differentiable at $x = 1$ .

$\Rightarrow$ The value of $C$ doesn’t exists.

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Value of ‘c’ of Rolle’s theorem for f(x)=x2+1, when o≤x≤13−x, when 1<x≤2

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Value of ‘ $c$ ’ of Rolle’s theorem for $f (x) = \{\begin{cases} x^{2} + 1, when o \leq x \leq 1 \\ 3 - x, when 1 < x \leq 2 \end{cases}$