y=ln(tanx)/ln(sinx),求dy/dx,

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y=ln(tanx)/ln(sinx),求dy/dx,

y=ln(tanx)/ln(sinx),求dy/dx,
y=ln(tanx)/ln(sinx),求dy/dx,

y=ln(tanx)/ln(sinx),求dy/dx,
y=ln(tanx)/ln(sinx)
dy/dx = [lnsinx .d/dx(lntanx) - lntanx d/dx(lnsinx) ] /[ln(sinx)]^2
= [lnsinx .(1/tanx) (secx)^2 -lntanx .(1/sinx) cosx ] /[ln(sinx)]^2