Найти производную y=(6x+17)^13 y=sin(5x+4) y=tg(2x+6)

1) Производная у = (6х + 17)¹³:

((6х + 17)¹³)\' = 13 * (6х + 17)¹² * (6х + 17)\' = 13 * (6х + 17)¹² * ((6х)\' + 17\') = 13 * (6х + 17)¹² * (6 + 0) = 13 * (6х + 17)¹² * 6 = 78 * (6х + 17)¹².

2) Производная у = sin(5x + 4):

sin(5x + 4)\' = cos(5x + 4) * (5x + 4)\' = cos(5x + 4) * ((5x)\' + 4\') = cos(5x + 4) * (5 + 0) = 5 * cos(5x + 4).

3) Производная у = tg(2x + 6):

tg(2x + 6)\' = 1 / cos²(2x + 6) * (2x + 6)\' = 1 / cos²(2x + 6) * ((2x)\' + 6\') = 1 / cos²(2x + 6) * (2 + 0) = 2 / cos²(2x + 6).