Q41 / 46 · NTA Abhyas (JEE Main) 2020 · Mathematics · Differentiation

If y=lnxx, then d2ydx2=2x3lnx-λ, where λ is

  • Correct answer
    A
    32
  • B
    23
  • C
    12
  • D
    13

Solution

Using quotient rule, we get,
dydx=1-lnxx2
∴d2ydx2=x2-1x-1-lnx2xx4
=-1-2+2lnxx3
=2x3lnx-1+12

Hence, the correct answer is option: 'A'.

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