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AP EAMCET202123 Aug 2021Evening ShiftMathematicsDifferentiationActual

If y= _y x , then d y d x is equal to

Options

  1. A1 x y
  2. By x(1+ y)
  3. C1 x(1+ y)
  4. D1 1+ y

Correct answer

C. 1 x(1+ y)

Step-by-step solution

y= _y x To find, d y d x y= _e x _e y y y= x On differentiating w.r.t. x , y d d x y+ y d y d x = d d x x y 1 y d y d x + y d y d x = 1 x (1+ y) d y d x = 1 x d y d x = 1 x(1+ y)

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