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MHT CET202124 Sep 2021Evening ShiftMathematicsDifferentiationActual

If y=1+x e^y , then d y d x =

Options

  1. Ae ^ y 2- y
  2. Be^y 2+y
  3. Ce ^ y 1- e ^ y
  4. De ^ y 1+ e ^ y

Correct answer

A. e ^ y 2- y

Step-by-step solution

aligned & y =1+ xe ^ y & dy dx =0+ xe ^ y dy dx + e ^ y & dy dx ( xe ^ y -1 )=- e ^ y dy dx = - e ^ y xe ^ y -1 & dy dx = - e ^ y (1+ xe ^ y )-2 = - e ^ y y -2 = e ^ y 2- y aligned

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