The function f(x) = 1 - 1 - x^2 - Vidyadip

MCQ

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

A
has its domain $-1 < x < 1.$
B
has finite one sided derivates at the point $x = 0.$
C
is continuous but not differentiable at $x = 0.$
✓
All of the above

✓

Answer

Correct option: D.

All of the above

d
$f ‘(0^+) = \frac{1}{{\sqrt 2 }} ; f ‘(0^-) = - \frac{1}{{\sqrt 2 }}$

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