Mathematic Problems
y=ln cos x·sin22x
y=ln cos x sin22x
g=cos x·sin22x    y=ln g
y'=1g·g'
g=cos x·sin2x=u·v    u=cos x  ;  v=sin22x  
g'=u'·v+u·v'
u=cos x  ;  v=sin22x  
u'=-sin x ;  v'=2·sin 2x·cos 2x·2=4·sin 2x·cos 2x
g'=-sin x·sin22x+cos x·4·sin 2x·cos2x
y'=1cos x sin22x·-sin x·sin22x+cos x·4·sin 2x·cos2x
y'=1cos x sin22x·sin 2x·4·cos x·cos2x-sin x·sin2x
y'=4 ·cos 2x·cosx-sin x·sin 2xcos x·sin 2x
y'=4 ·cos 2x·cosxcos x·sin 2x- sin x·sin 2xcos x·sin 2x
y'=4 ·cos 2xsin 2x- sin xcos x
y'=4 ctg 2x-tg x
y'=4 ctg 2x-tg x