a=tanx^x
lga=xlgtanx
对x求导
a'/a=lgtanx+x*1/tanx*sec²x
=lgtanx+2x/sin2x
a'=tanx^x(lgtanx+2x/sin2x)
b=x^tanx
lgb=tanxlnx
b'/b=sec²xlnx+tanx/x
b'=x^tanx(sec²xlnx+tanx/x)
所以
y'=tanx^x(lgtanx+2x/sin2x)+x^tanx(sec²xlnx+tanx/x)
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