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KCET2018MathematicsDifferentiation

If ( y=x (a+y) ) with ( a 1 ), then ( d y d x ) is equal to

Options

  1. A( a ²(a+y) )
  2. B( ²(a+y) a )
  3. C( a ²(a+y) )
  4. D( ²(a+y) a )

Correct answer

B. ( ²(a+y) a )

Step-by-step solution

Given that ( y=x (a+y) ) [ x= y (a+y) ] Differentiating with respect to ( x ), we get [ array l 1= (- (a+y) y+ (a+y) y) ²(a+y) d y d x d y d x = ²(a+y) (a+y-y) = ²(a+y) a array ]

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