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12th Standard English Medium Maths Subject Differentials and Partial Derivatives Creative 3 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

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

    3 Marks

    5 x 3 = 15
  1. Find the approximate value of f (3.02) where f(x) = 3x2 + 5x +3.

  2. If f = \(\frac { x }{ { x }^{ 2 }+{ y }^{ 2 } } \) then show that = \(x\frac { \partial f }{ \partial x } +y\frac { \partial f }{ \partial y } \) = -f

  3. Find the linear approximation to \(g(z)=\sqrt [ 4 ]{ zat } z=2\)

  4. If (x,y)=3x2+4y2+6xy-x2y2+5 then find 
    (i) fx(1,-1)
    (ii) fxy(1,1)
    (iii)fxy(2,1)

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