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The function f (x) =1+ x ln (x+ sqrt(1+ ...

The function `f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2))` is:

A

strictly increasing `Ax in (0,1)`

B

strictly decrreasing `AA x in (-1,0)`

C

strictly decreasing for `x in (-1,0)`

D

strictly decreasing for `x in (0,1)`

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The correct Answer is:
A, C, D
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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
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  3. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

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  4. Let m and n be positive integers and x,y gt 0 and x+y =k, where k is c...

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  6. A curve is such that the ratio of the subnormal at any point to the su...

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  17. Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a ...

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  18. Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le...

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  19. Minimum distnace between the curves y ^(2) =x-1and x ^(2) =x-1 and x ^...

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  20. For the equation (e ^(-x))/(1+x)= lamda which of the following stateme...

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