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Let f(x)=\sqrt{1-\sqrt{1-x^{2 }}},then f(x) is (1) Continuous on \lbrack-1,1 \rbrack and differentiable on (-1,1) (2) Continuous on \lbrack-1,1\rbrack and differentiable on (-1,0)∪(0,1) (3) Continuous and differentiable on (-1,1) (4) Discontinuous on \lbrack-1,1 |
| Answer» Let f(x)=\sqrt{1-\sqrt{1-x^{2 }}},then f(x) is (1) Continuous on \lbrack-1,1 \rbrack and differentiable on (-1,1) (2) Continuous on \lbrack-1,1\rbrack and differentiable on (-1,0)∪(0,1) (3) Continuous and differentiable on (-1,1) (4) Discontinuous on \lbrack-1,1 | |