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AP EAMCET202021 Sep 2020Morning ShiftMathematicsDifferentiationActual

If (x=e^ y+e^ y+e^ y+ ), then ( d y d x = )

Options

  1. A( 1-x x )
  2. B( 1 x )
  3. C( x 1+x )
  4. D( 1+x x )

Correct answer

A. ( 1-x x )

Step-by-step solution

It is given that, ( array lll & x =e^ y+e^ y+e^ y+ & x =e^ y+x & _e x =x+y y= _e x-x array ) On differentiating both sides with respect to ' (x ) ', we get ( d y d x = 1 x -1= 1-x x ) Hence, option (a) is correct.

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