Найти производные функций y=f(x) y4=(tgx)ctg(1x)

Ddxtgxctg1x
Inyx=In(xtgx)ctg1x
Inyx=ctg1xInxtgx
ddxInyx=ddxctg1xIntgxx
ddx(yx)y(x)=ddxctg1xInxtgx
ddxxy'(x)y(x)=ddxctg1xInxtgx
1*y'xyx=ddxctg1xInxtgx
y'(x)y(x)=Inxtgxddxctg1x+ctg1xddxInxtgx
y'(x)y(x)=ctg1xddxInxtgx+-csc21xddx1xInxtgx
y'(x)y(x)=ctg1xddxInxtgx--1x2csc21xInxtgx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1xddxInxtgx
y'(x)y(x)=csc21xIn(xtgx)x2+ddx(Inx+Intgx))ctg(1x)
y'(x)y(x)=csc21xIn(xtgx)x2+ddxInx+ddxIntgxctg1x
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1xddxIntgx+ddxInx2
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1xddxIntgx+12ddxInx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1xddxIntgx+12*ddxxx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1xddxIntgx+1*12x
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1x12x+ctgxddxtgx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1x12x+ddxxsec2xctgx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1x12x+csccxddxxsecx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1x12x+1*cscxsecx
y'(x)y(x)=csc21xIn(xtgx)x2+ctg1x12x+cscxsecx
y'x=csc21xInxtgxx2+ctg1x12x+cscxsecxyx
y'x=csc21xInxtgxx2+ctg1x12x+cscxsecx*