The function $$f(x)=1$$−$$1$$−$$x2$$ is

Correct option is 2Continuous on [−1,1] and differentiable on (−1,0)∪(0,1)

Questions

$The function f (x) = \sqrt{1 - \sqrt{1 - x^{2}}} is$

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Continuous on [−1,1] and differentiable on (−1,1)

Continuous on [−1,1] and differentiable on (−1,0)∪(0,1)

Continuous as well as differentiable on [−1,1]

None of these

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detailed solution

Correct option is B

f(x)=1−1−x2Clearly, the domain of definition is −1,1.f'(x)=121−1−x2−121−x2−2x=x1−x21−1−x2,Which does not exist for x=0,−1,1Also, f(x) is continuous on −1,1So, (b) is the correct choice.

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The function f(x)=1−1−x2 is

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$The function f (x) = \sqrt{1 - \sqrt{1 - x^{2}}} is$