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

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 15
    5 x 3 = 15
  1. Differentiate: sin x.sin 2x. sin 3x with respect to 'x'.

  2. Find \(\frac{dy}{dx}\) if x = 15(t - sin t); y = 18(1 - cos t).

  3. If ey (x + 1) = 1, show that \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } ={ \left( \frac { dy }{ dx } \right) }^{ 2 }\)

  4. Evaluate \(\underset { x\rightarrow -3 }{ lim } \frac { { x }^{ 3 }+27 }{ { x }^{ 5 }+243 } \)

  5. Evaluate \(\underset { x\rightarrow 0 }{ lim } \frac { 2sinx-sin2x }{ { x }^{ 3 } } \)

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