MathematicsIf y=enx,  then d2ydx2d2xdy2 is equal to

If y=enx,  then d2ydx2d2xdy2 is equal to

  1. A

    nenx

  2. B

    ne-nx

  3. C

    1

  4. D

    -ne-nx

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    Solution:

    The given function is y=enx

    Differentiate both sides 

    dydx=nenx

    Again differentiate both sides 

    d2ydx2=n2enx now y=enxnx=logy ndxdy=1y nd 2xdy2=-1y2d 2xdy2=-1ny2 d2ydx2d 2xdy2=n2y×-1ny2=-ny=-ne-nx

     

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