y=ln(tg(5x))
у ' = (ln(tg( ' = 1/tg(5x)*(tg(5x)) ' = 1/tg(5x) * 1/cos²(5x) * (5x) ' = 5/(tg(5x)*cos²(5x)) = 5 / (sin(5x) / cos (5x) * cos²(5x)) = 5/(sin(5x)*cos(5x)) = 5/(1/2 * sin(10x)) = 10/sin(5x)
y=ln(tg(5x))
у ' = (ln(tg( ' = 1/tg(5x)*(tg(5x)) ' = 1/tg(5x) * 1/cos²(5x) * (5x) ' = 5/(tg(5x)*cos²(5x)) = 5 / (sin(5x) / cos (5x) * cos²(5x)) = 5/(sin(5x)*cos(5x)) = 5/(1/2 * sin(10x)) = 10/sin(5x)