Question

найти производную y = ln sin(6x+7)

Answer 1

[lnSin(6x + 7)] ' = 1/Sin(6x + 7) * (Sin(6x+7)) ' =
= 1/Sin(6x+7) *Cos(6x+7) * (6x+7) ' = 6Cos(6x+7)/Sin(6x+7) = 6ctg(6x+7)

Answer 2

$y=ln*sin(6x+7) \\ \\ y'= \frac{1}{sin(6x+7)}*cos(6x+7)*6 \\ y'= 6ctg(6x+7)$