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IF f(x)= log(tan(x/2)), then the value o...

IF `f(x)= log(tan(x/2))`, then the value of f'(x) is

A

sin x

B

`1/2(sin(x/2)cos(x/2))`

C

`-cosec x`

D

cosec x

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UNITED BOOK HOUSE-SET 1-EXERCISE
  1. The principal value of tan^(-1)(-sqrt3) is

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  2. If A is an invertible matrix of order 3 and |A| =5, then the value of ...

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  3. IF f(x)= log(tan(x/2)), then the value of f'(x) is

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  4. The value of int0^picosabsx dx is

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  5. The area (in squnit) bounded by the curve y= sinx, x-axis and the two ...

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  6. Angle between the straight lines (x-5)/7=(y+2)/-5=z/1 and x/1=y/2=z/3 ...

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  7. The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. i...

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  8. If the odds against an event are 4:5, then the probability of occurren...

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  9. The variance of a binomial distribution with parameters n and p is-

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  10. On the set Q^+ of all positive rational numbers if the binary operatio...

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  11. Solve: tan^(-1)(cotx)+cot^(-1)(tanx)= pi/4

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  12. Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]| =4xyz

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  13. If A=[[2,5],[1,3]] and AB = [[-13,8],[-8,5]] find B.

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  14. Evaluate:lim(x to 0)((a^x-b^x)/x)

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  15. If x= t log t,y = (log t)/t, find (dy)/(dx) when t=1

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  16. Evaluate: int (1-1/x^2)e^(x+1/x)dx

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  17. Solve: (dy)/(dx) = 1-x+y-xy

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  18. Show that the function f(x) = 2/3 x^3-6x^2+20x-5 has neither a maximum...

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  19. The radius of a circular plante increased at the rate of 0.002 cm/s. H...

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  20. Find the acute angle between z-axis and the straight line joining the ...

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