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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
1
−
1
−
x
2
f(x) = \sqrt{1 - \sqrt{1 - x^2}}
f
(
x
)
=
1
−
1
−
x
2
a. has its domain
−
1
≤
x
≤
1
-1 \le x \le 1
−
1
≤
x
≤
1
b. has finite one sided derivatives at the point
x
=
0
x = 0
x
=
0
c. is continuous and differentiable at
x
=
0
x = 0
x
=
0
d. is continuous but not differentiable at
x
=
0
x = 0
x
=
0
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