Let f - -1-1- R be a be a function defined by fx - max -x- -1-x2- If K be the set of all points at which f is not differentiable- then K has exactly -

The correct option is C Three elements f : ( 1, 1) → R f(x) = max { |x|, √(1 x^2)} Non derivable at 3 points in (1, 1) ...

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Standard XII

Mathematics

Definition of Functions

Let f : -1,...

Question

Let $f : (- 1, 1) \to R$ be a be a function defined by $f (x) = m a x {- | x |, - \sqrt{1 - x^{2}}}$ . If $K$ be the set of all points at which f is not differentiable, then $K$ has exactly :

Three elements

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Solution

The correct option is C Three elements
$f : (- 1, 1) \to R$
$f (x) = m a x {- | x |, - \sqrt{1 - x^{2}}}$
Non-derivable at 3 points in $(1, 1)$

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Let f:(−1,1)→R be a be a function defined by f(x)=max{−|x|,−√1−x2}. If K be the set of all points at which f is not differentiable, then K has exactly :

The correct option is C Three elementsf:(−1,1)→Rf(x)=max{−|x|,−√1−x2}Non-derivable at 3 points in (1,1)

Let $f : (- 1, 1) \to R$ be a be a function defined by $f (x) = m a x {- | x |, - \sqrt{1 - x^{2}}}$ . If $K$ be the set of all points at which f is not differentiable, then $K$ has exactly :

The correct option is C Three elements
$f : (- 1, 1) \to R$
$f (x) = m a x {- | x |, - \sqrt{1 - x^{2}}}$
Non-derivable at 3 points in $(1, 1)$