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AP EAMCET2009MathematicsDifferentiation

z= (y+a x)+ y-a x z_ x x -a^2 z_ y y is equal to

Options

  1. A0
  2. B1
  3. Cz_x+z_y
  4. Dz_x z_y

Correct answer

A. 0

Step-by-step solution

aligned & Given, z= (y+a x)+ y-a x & z_x= ^2(y+a x) a+ 1 2 y-a x (-a) & z_ x x =2 ^2(y+a x) (y+a x) a^2 & + 1 (-a^2 ) 4(y-a x)^ 3 / 2 & and z_y= ^2(y+a x)+ 1 2 y-a x & z_ y y =2 ^2(y+a x) (y+a x) & - 1 4(y-a x)^ 3 / 2 & z_ x x -a^2 z_ y y =0 & aligned

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