Exercise:
nprvmulticols abclist abc displaystyle fracddddx left sinhx right abc displaystyle fracddddx left coshx right abc displaystyle fracddddy left sinhy right abc displaystyle fracddddz left cosh^z right abc displaystyle fracddddtheta left sinh^theta right abc displaystyle fracddddphi left sinhphi^ right abc displaystyle fracddddphi left coshphi^ + right abc displaystyle fracddddr left r sinhr right abc displaystyle fracddddr left r^ coshr right abc displaystyle fracddddalpha left alpha cosh^alpha right abc displaystyle fracddddalpha left alpha^ sinhalpha right abc displaystyle fracddddpsi left sinhpsi^coshpsi right abc displaystyle fracddddpsi left sinhpsicoshpsi^ right abc displaystyle fracddddx left sinhx^ + x right abc displaystyle fracddddy left coshy^ + y + right abc displaystyle fracddddz left sinh^z^ + z right abc displaystyle fracddddtheta left cosh^theta + right abc displaystyle fracddddphi left sinhphicoshphi right abc displaystyle fracddddalpha left sinhalpha^coshalpha^ right abc displaystyle fracddddr left rsinh^r^ right abc displaystyle fracddddchi left cosh^chi^ + chisinhchi right abclist nprvmulticols

Solution:
abclist abc fracdddd xbigsinh xbig cosh x abc fracdddd xbigcosh xbig sinh x abc fracdddd ybigsinhybig coshy fracdddd yy coshy abc fracdddd zbigcosh^ zbig cosh z fracdddd zcosh z cosh z sinh z abc fracdddd thetabigsinh^ thetabig sinh^theta fracdddd thetasinh theta sinh^thetacoshtheta abc fracdddd phibigsinhphi^big coshphi^ fracdddd phiphi^ phicoshphi^ abc fracdddd phibigcoshphi^+big sinhphi^+ fracdddd phiphi^+ phisinhphi^+ abc fracdddd rbigrsinh rbig fracdd rdd rsinh r + rfracdddd rsinh r sinh r + rcosh r abc fracdddd rbigr^cosh rbig fracdddd rr^cosh r + r^fracdddd rcosh r rcosh r + r^sinh r abc fracdddd alphabigalpha cosh^ alphabig fracdd alphadd alphacosh^alpha + alphafracdddd alphacosh^alpha cosh^alpha + alpha coshalphasinhalpha abc fracdddd alphabigalpha^sinh alphabig fracdddd alphaalpha^sinhalpha + alpha^fracdddd alphasinhalpha alphasinhalpha + alpha^coshalpha abc fracdddd psibigsinhpsi^coshpsibig coshpsi^ fracdddd psipsi^ coshpsi ;+; sinhpsi^ fracdddd psicoshpsi psicoshpsi^coshpsi + sinhpsi^sinhpsi abc fracdddd psibigsinhpsicoshpsi^big fracdddd psisinhpsi coshpsi^ ;+; sinhpsi fracdddd psicoshpsi^ coshpsicoshpsi^ + sinhpsi sinhpsi^ psi abc fracdddd xbigsinhx^+xbig coshx^+x fracdddd xx^+x x^+coshx^+x abc fracdddd ybigcoshy^+y+big sinhy^+y+ fracdddd yy^+y+ y+sinhy^+y+ abc fracdddd zbigsinh^z^+zbig sinhz^+z fracdddd zsinhz^+z sinhz^+zcoshz^+z z+ abc fracdddd thetabigcosh^theta+big cosh^theta+ fracdddd thetacoshtheta+ cosh^theta+sinhtheta+ cosh^theta+sinhtheta+ abc fracdddd phibigsinhphicoshphibig coshphicoshphi + sinhphisinhphi cosh^phi + sinh^phi abc fracdddd alphabigsinhalpha^coshalpha^big coshalpha^ alpha coshalpha^ ;+; sinhalpha^ sinhalpha^ alpha alphabigcosh^alpha^+sinh^alpha^big abc fracdddd rbigrsinh^r^big fracdd rdd rsinh^r^ + r fracdddd rbigsinh^r^big sinh^r^ + r sinh^r^ coshr^ fracdddd rr^ sinh^r^ + r^sinh^r^coshr^ abc fracdddd chibigcosh^chi^+chisinhchibig fracdddd chibigcosh^chi^+chibigsinhchi ;+; cosh^chi^+chifracdddd chisinhchi coshchi^+chisinhchi^+chi chi+sinhchi ;+; cosh^chi^+chicoshchi abclist