Question
Download Solution PDFIf y =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
y = (1/x )x
take log on both sides
log y = x log(1/x)
log y = x(log 1 - log x)
log y = x(-log x)
Differentiate with respect to y
1/y × dy/dx = -( 1 + log x)
dy/dx = -(1/x)x(1 + log x)
again Differentiate with respect to x .
d2y/dx2 = -(dy/dx(1 + logx) +y(1/x)
d2y/dx2 = -(-(1/x)x(1+ log x)2 + (1/x)x+1)
Hence, option 2 is correct.
Last updated on Jun 17, 2025
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