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FUNDAMENTALS OF MATHEMATICS DIFFERENTIAL CALCULUS by Sanjay Mishra

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TUTORIAL EXERCISE
SECTION–III
ONLY ONE CORRECT ANSWER
  1. If image and image then p is equal to
    a. 0 b. sin–1 x + c
    c. image d. None of these
  2. The derivative of the function cot–1 [(cos 2x)]1/2] at x = π/6 is
    a. (2/3)1/2 b. (1/3)1/2
    c. 31/2 d. 61/2
  3. If image then
    a. b.
    c. d. 0
  4. If x = 2 log cot t and y = tan t + cot t, then (sin 2 ) 1
    a. cos ...

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