Производные первого порядка y=55x-7arctgx

1) y'=55x-7arctgx'=5*x15-7arctgx'=5*15*x15-1-71+x2=x-45-71+x2=15x4-71+x2
2) y'=cosx*3x-1'=cosx'3x-1+cosx3x-1'=-sinx3x-1+3cosx
3) y'=3x5ex'=3x5'ex-3x5ex'ex2=15x4ex-3x5exe2x=15x4-3x5exe2x=15x4-3x5ex
4) x=ln1-t4y=arccost2
Найдем yx', по формуле:
yx'=y'x'
x'=ln1-t4'=11-t4*1-t4'=-4t31-t4y'=arccost2'=-11-t22*t2'=-2t1-t4
yx'=-2t1-t4-4t31-t4=-2t1-t4-4t31-t4=1-t42t21-t4=1-t42t2