Question

Differentiate the following
$y = log_{e}(x) \div {x}^{2}$
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Answer 1

Step-by-step explanation:

log base e= ln

y=lnx/x²

dy/dx=(x²×d(lnx)/dx-lnx× d x²/dx)/(x²)²

dy/dx=(x²×1/x)-lnx×2x/x⁴

dy/dx=x-2xlnx/x⁴