Y’(x)=7sin(x+12)/cos(-5x) Найти производную
Y=7sin(x+12)/cos(-5x) y'=(u/v)'=1/v²[u'v-v'u] u=7sin(x+12) u'=7cos(x+12) v=cos(-5x)=cos5x v'=-5sin5x y'=1/cos²5x[7cos(x+12)*cos5x+5sin5x*7sin(x+12)]= =7[cos(x+12)*cos5x+5sin5x*sin(x+12)]/cos²5x