Найти производные функций y=log3x+1∙arctg57x

Y'=log3x+1∙arctg57x'=log3x+1'∙arctg57x+log3x+1∙arctg57x'=
=u∙v'=u'∙v+u∙v'logau'=1u∙lna∙u'un'=n∙un-1∙u'arctgu'=11+u2∙u'=1x+1ln3∙x+1'∙arctg57x+5arctg47x∙log3x+1∙arctg7x'=
=1x+1ln3∙arctg57x+5arctg47x∙log3x+1∙11+49x27x'=
=arctg57xx+1ln3+5arctg47x∙log3x+1∙71+49x2=
=arctg57xx+1ln3+35arctg47x∙log3x+11+49x2