1)y = (4x + 3)5 2)y = (7-6x² + 2x)⁴ 3)y = 3(8x - 1)³ 4)y = 1/(7x+2)⁴ 5)y = 3/(8-5x)⁶ 6)y = 3√4x + 9 7) y = √x/3 -13 8)y=sin(7x-π/4) 9)y = 2cos(3x + π) 10)y=tg(5x-π/3) 11)y = 6ctg(x/3+π/2) 12)y = 4 sin² (2x+π/6)

y = (4x + 3)⁵

y' = 5(4x + 3)⁴ ⋅ 4 = 20(4x + 3)⁴

y = (7 - 6x² + 2x)⁴

y' = 4(7 - 6x² + 2x)³ ⋅ (-12x + 2) = (8 - 48x)(7 - 6x² + 2x)³

y = 3(8x - 1)³

y' = 3 ⋅ 3(8x - 1)² ⋅ 8 = 72(8x - 1)²

y = 1 / (7x + 2)⁴ = (7x + 2)^-4

y' = -4(7x + 2)^-5 ⋅ 7 = -28 / (7x + 2)⁵

y = 3 / (8 - 5x)⁶ = 3(8 - 5x)^-6

y' = 3 ⋅ (-6)(8 - 5x)^-7 ⋅ (-5) = 90 / (8 - 5x)⁷

y = 3√(4x + 9)

y' = 3 ⋅ 1 / (2√(4x + 9)) ⋅ 4 = 6 / √(4x + 9)

y = √(x/3) - 13 = (x/3)^1/2 - 13

y' = 1/2 (x/3)^-1/2 ⋅ 1/3 = 1 / (6√(x/3))

y = sin(7x - π/4)

y' = cos(7x - π/4) ⋅ 7 = 7cos(7x - π/4)

y = 2cos(3x + π)

y' = 2 ⋅ (-sin(3x + π)) ⋅ 3 = -6sin(3x + π)

y = tg(5x - π/3)

y' = 1 / cos²(5x - π/3) ⋅ 5 = 5 / cos²(5x - π/3)

y = 6ctg(x/3 + π/2)

y' = 6 ⋅ (-1 / sin²(x/3 + π/2)) ⋅ 1/3 = -2 / sin²(x/3 + π/2)

y = 4sin²(2x + π/6)

y' = 4 ⋅ 2sin(2x + π/6) ⋅ cos(2x + π/6) ⋅ 2 = 16sin(2x + π/6)cos(2x + π/6) = 8sin(4x + π/3)