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AP EAMCET20226 Jul 2022Morning ShiftMathematicsDifferentiationActual

If y x ^4 + x y ^4 =2 ^2 ^2 , then d y d x =

Options

  1. A^3
  2. B^2 ^2
  3. C^2 ^2
  4. D^3

Correct answer

C. ^2 ^2

Step-by-step solution

aligned & we have y x ^4 + x y ^4 =2 ^2 ^2 & x ^2 ^4 + y ^2 ^4 -2 xy ^2 ^2 =0 & ( x ^2 - y ^2 )=0 & ^2 - dy dx ^2 =0 & dy dx = ^2 ^2 aligned

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