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If y= tan^(-1)((1-x)/(1+x)), then (dy)/(...

If `y= tan^(-1)((1-x)/(1+x))`, then `(dy)/(dx)|_(x=1)`

A

`-1/2`

B

`-1`

C

0

D

1

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UNITED BOOK HOUSE-SET 5-EXERCISE
  1. The principal value of sin^(-1)sin((3pi)/4) is

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  2. If A is a square matrix, then A-A' is

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  3. If y= tan^(-1)((1-x)/(1+x)), then (dy)/(dx)|(x=1)

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  4. If f(x) is an add function then overset(a)undert(-a)f(x)dx is equal to

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  5. If the rate of change of volume of a shpere is equal to the rate of th...

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  6. For two vectors veca and vec b, (veca. vecb)^2+(vec axxvec b)^2=

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  7. The equation of a plane parallel to z-axis is

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  8. A die thrown twice. If A is the event of getting a multiple of three i...

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  9. Prove that the binary operation O defined by a o b = a-b+ab, AA a,b in...

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  10. The value of tan^2 (sec^-1 2)+ cot^2(cosec^-1 3) is

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  11. Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal ma...

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  12. Without expanding show that |[27,40,58],[24,36,52],[18,28,40]|=0

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  13. If f(x)= {((tan 3x)/(4x),xne0 ),(k, x=0):}, then for what value of K, ...

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  14. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

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  15. Evaluate: int (x^2+1)/(x+1)^2 dx

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  16. Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.

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  17. solve : (dy)/(dx) = (1-cos x)/(1+ cosx)

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  18. Find the interval in which the function f(x)= x^3-6x^2+9x+5 is decrea...

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  19. If vec a= 4 hati- hat j-3hat k and vec b = -2 hat i+hat j+2 hat k are ...

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  20. Find the equation of the plane passing through the point (4,1,1) and p...

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