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If `f(x)=sqrt(1-sqrt(1-x^2))` , then `f(x)` is (a) continuous on [-1, 1] and differentiable on (-1, 1) (b) continuous on [-1, 1] and differentiable on ( − 1 , 0 ) ∪ ( 0 , 1 )` (c) continuous and differentiable on [-1, 1] (d) none of these

A

continuous of [-1,1] and differentiable on (-1,1)

B

continuous on [-1,1] and differentiable aon `(-1,0) in (0,1)`

C

continuous and differentiable on [-1,1]

D

None of these

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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  2. The function f(x)=[cos x] is

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  3. If f(x)=sqrt(1-sqrt(1-x^2)) , then f(x) is (a) continuous on [-1, 1] ...

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  5. about to only mathematics

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  8. If f(x)= | log10x| then at x=1.

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  9. If f(x)=|log(e) x|,then

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  10. If f(x)=|log(e)|x||," then "f'(x) equals

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  11. Let f(x)={1/(|x|)\ \ \ \ \ for\ |x|geq1a x^2+b\ \ \ \ \ \ \ \ for\ |x|...

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  12. Let h(x)="min "{x,x^(2)} for every real number of x. Then, which one o...

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  19. If f(x) defined by f(x)={(|x^2-x|)/(x^2-x1,x=0),x!=0,1-1,x=1 then (...

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  20. If f(x)={(1-sinx)/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2))),x...

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