1)Y=x²+4^x-e^x+5cos+2arccosx 2)Y=Ln(3+2x) 3)15x² * e^x

1) (y)\' = (x^2)\' + (4^x)\' - (e^x)\' + (5cos(x))\' + (2arccos(x))\' = 2x + 4 ^x * ln(4) - e^x - 5sin(x) + 2 / √(1 - x^2).

2)  (y)\' = (ln(3 + 2x)\' = 1 / (3 + 2x) * (3 + 2x)\' = 2 / (3 + 2x).

3) (y)\' = (15x^2 * e^x)\' = (15x^2)\' * e^x + 15x^2 * (e^x)\' = 30x * e^x + 15x^2 * e^x = 15x * e^x * (2 + x).