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Limits and Derivatives Test - 4

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Limits and Derivatives Test - 4
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  • Question 1
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    is equal to

    Solution

  • Question 2
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    is equal  to

    Solution

  • Question 3
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    The derivative of f(x) = 1 + x + x2 + x3 + ..... + x100 at x = 1 is
  • Question 4
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    is equal to

    Solution

  • Question 5
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    If x = a cos4and y = a sin4, then  at  =  is equal to
  • Question 6
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    Solution

  • Question 7
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    If f(X) = xn +a xn-1 + a2 xn-2 +… +an-1 x + an for some fixed real number, then f'(x) is equal to 
  • Question 8
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    If y = x5 cotx, then dy/dx is equal to
  • Question 9
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     is equal to
  • Question 10
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     is equal to
  • Question 11
    1 / -0
    If y = a emx + b e -mx, then y'' is equal to
  • Question 12
    1 / -0
    The derivative of f(x) = |x| at x = 0 is
  • Question 13
    1 / -0
    , n  N, is equal to
  • Question 14
    1 / -0
    If f(x) = (x – 2)2 (2x – 3), then find the value of f'(1).
  • Question 15
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    What will be the derivative of  (x sin x + cos x)(x cos x – sin x)?
  • Question 16
    1 / -0
  • Question 17
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    If y = , find the value of .
  • Question 18
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    If x = , y = , then  equals
  • Question 19
    1 / -0
  • Question 20
    1 / -0

    Solution

  • Question 21
    1 / -0
    If y = (x + 1)(x + 2)(x + 3), then dy/dx is equal to
  • Question 22
    1 / -0
     is equal to
  • Question 23
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  • Question 24
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    If f(x) = x sin x, then f' is equal to
  • Question 25
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    Find (6x3 + 19x2 + 14x + 18)/(5x3 + 6x2 + 7x + 12).
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