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MHT CET202211 Aug 2022Morning ShiftMathematicsDifferentiationActual

If x^y y^x=16 , then d y ~d x at (2,2) is

Options

  1. A-2
  2. B2
  3. C1
  4. D-1

Correct answer

D. -1

Step-by-step solution

x^y y^x=16 y x+x y= 16 [Taking log both sides] Differentiating we get d y ~d x x+y 1 x + y+x 1 y d y ~d x =0 Putting x=2 and y=0 aligned & d y ~d x (1+ 2)=-(1+ 2) & d y ~d x =-1 aligned

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