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Let f(x) = sqrt(1-sqrt(1-x^2) then f(x) ...

Let `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), uu (0,1)`

C

continuous and differentiableon (-1,1)

D

none of these

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
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  2. The set of points where the function f given by f(x)=|2x-1|sinx is dif...

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  3. Lt f(x) = |cos x|, then

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  4. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

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  5. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)x is

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  6. If y=log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

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  7. d/(dx) {log(x + sqrtx^2+1)} is

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  8. If y = (e^x - e^-x)/(e^x + e^-x), then dy/dx=

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  9. If y = sqrt(sin x + y) , then (dy)/(dx) is equal to

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  10. If x=t^2, y = t^3, then (d^2y)/(dx^2) is

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  11. If y = ae^(mx) + be^-(mx), then (d^2y)/(dx^2) =

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  13. The value of c in Rolle's Theorem for the function f(x) = e^x sin x , ...

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  14. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

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  15. If y = tan^-1 (2x/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when...

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  16. If f(x) = x^2 +(x^2)/(1+x^2)+ (x^2)/((1+x^2)^2) + …. up to infty, then...

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  17. For the function f(x) = x +1/x, x in [1,3], the value of c for mean va...

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  18. The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...

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  19. Let f(x) = sqrt(1-sqrt(1-x^2) then f(x) is

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  20. Domain of differentiability of the function f(x) = |x-2| cos x is

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