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NDA2012MathematicsDifferentiationActual

If x^m+y^m=1 such that d y d x =- x y , then what should be the value of m ?

Options

  1. A0
  2. B1
  3. C2
  4. DNone of the above

Correct answer

C. 2

Step-by-step solution

aligned & x^m+y^m=1 & m x^ m-1 +m y^ m-1 d y d x =0 aligned d y d x = (- x y )^ m-1 aligned & (- x y )^1= (- x y )^ m-1 & m-1=1 m=2 . aligned

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