求y=2lnx²+(lnx)²的导数,

问题描述:

求y=2lnx²+(lnx)²的导数,

y'=2×1/x^2 ×(x^2)' +2lnx ×(lnx)'
=2/x^2 ×2x +2lnx ×1/x
=4/x +2lnx/x
=(4+2lnx)/x