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11th Standard English Medium Maths Subject Differentiability and Methods of Differentiation Creative 3 Mark Questions with Solution Part - I Question Bank Software Jun-25 , 2021

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11th Standard English Medium Maths Subject Differentiability and Methods of Differentiation Creative 3 Mark Questions with Solution Part - I

11th Standard English Medium Maths Subject Differentiability and Methods of Differentiation Creative 3 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15

  1. Show  that\(f\left( x \right) ={ x }^{ 2 }\) is differentiable at x = 1 and find \(f^{ ' }\left( 1 \right) \)

  2. If xy = 4, Prove that \(x\left( \frac { dy }{ dx } +{ y }^{ 2 } \right) =3y.\)

  3. If \({ x }^{ 2 }+2xy+{ y }^{ 3 }=42,\) find \(\frac { dy }{ dx } \)

  4. Differentiate \(\log { (1+{ x }^{ 2 } } )\) with respect to \(\tan ^{ -1 }{ x } \)

  5. Find the derivation : 6 sin x log10 x + e

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