Найдете производные функций 1) y=22x 2) y=2x +3x³ 3) y=2/6x^{4} + 2/5x^{5}+1/2x^{4}+ 7 4) y= (3x^{4} -2)(x-1) 5) y= 3x³/ (x²+3)

1) y=22x;⇒y¹=22;
2)y=2x+3x³;  y¹=2+9x²;
3)y=2/6·x⁴+2/5·x⁵+1/2·x⁴+7=5/6x⁴+2/5x⁵+7;
 y¹=5/6·4x³+2/5·5x⁴=20/6x³+2x⁴;
4)y=(3x⁴-2)(x-1)=3x⁵-2x-3x⁴+2;
y¹=15x⁴-2-12x³=15x⁴-12x³-2;
5)y=3x³/(x²+3);
y¹=[9x²(x²+3)-3x³2x]/(x²+3)²=(9x⁴+27x²-6x⁴)/(x²+3)²=(3x⁴+27x²)/(x²+3)²=
=3x²(x²+9)/(x²+3)²;