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11th Standard English Medium Business Maths Subject Differential Calculus Creative 3 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 15
    5 x 3 = 15
  1. If \(y=\sqrt { x } +\frac { 1 }{ \sqrt { x } } \) show that \(2x\frac { dy }{ dx } +y=2\sqrt { x } \).

  2. Show that the function f(x) = [x] where [x] denotes the greatest integer function is discontinuous at all integral points

  3. Is the function defined by f(x) = x2 -sin x + 5 is continuous at x =\(\pi\)?

  4. Differentiate: \(\sin ^{ -1 }{ \left( \sqrt { \cos { x } } \right) } \)

  5. Differentiate: sin2 x + cos2 y = 1.

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