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If f(x) = loge ((1-x)/(1+x)), then f'(0)...

If f(x) = `log_e ((1-x)/(1+x))`, then f'`(0)` is

A

2

B

`-2`

C

0

D

`-1//2`

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UNITED BOOK HOUSE-SET 19-EXERCISE
  1. Number of relations of a set having 5 elements are

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  2. If a matrix A = (alpha(ij))(3xx4) and alpha(ij) = (-1)^(hati + hatj), ...

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  3. If f(x) = loge ((1-x)/(1+x)), then f'(0) is

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  4. Find the interval of the function f(x) = x^3 in which it is increasing

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  5. A and B are two independent events P(A) = 1/3 and P(A nnB) = 1/6, then...

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  6. The value of int(-1)^(1) |2x + 1|dx is

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  7. find the length of the perpendicular drawn from the point (2,1,-1) on ...

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  8. If sin^-1 x - cos^-1 x = pi/6 then x is

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  9. The I.F. of the differential equation x log x (dy)/(dx) + 2y = log x i...

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  10. Let * be a binary operations on Z and is defined by , a * b = a + b + ...

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  11. Evaluate: 4(2tan^(-1)(1/3)+tan^(-1)(1/7))

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  12. Prove that (a+b+c+x) is a factor of |(x+a, b,c),(b,x+c,a),(c,a,x+b)|

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  13. If P = ((1,2,1),(1,3,1)) and Q = PP^T , then find Q

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  14. Verify Rolle's theorem for the function f(x) = sin x + cosx in the int...

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  15. Evaluate : underset(x rarr0) Lt (logecosx)/(sin^2 x)

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  16. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

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  17. If x>1/2, show that the function f(x) = x(4x^2 - 3) is steadily increa...

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  18. If |veca| = sqrt3,|vecb| = 2 and veca.vecb = sqrt6, then find the angl...

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  19. If the line (x-2)/(6) = (y-1)/(lambda) = (z+5)/(-4) is perpendicular t...

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  20. The probability that A hits a target is 1/3 and the probability that B...

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