Отыскать производную от:1) y=3x lnx-x^32)y=x^2 sinx+2x cosx-2sinx3)y= (3x+2)/(2x+3)4)y=sqrt(2-3х^4)

1) y = 3 * x * ln(x) - x^3;

y = 3 * ln(x) + 3 * x * (1 / x) - 3 * x^2 = 3 * ln(x) + 3 - 3 * x^2;

2) y = x^2 * sin(x) + 2 * x * cos(x) - 2 * sin(x);

y = 2 * x * sin(x) + x^2 * cos(x) + 2 * cos(x) + 2 * x * (- sin(x)) - 2 * cos(x) = x^2 * cos(x);

3) y = (3 * x + 2) / (2 * x + 3);

y = [3 * (2 *x + 3) - 2 * (2 * x + 3)] / (2 * x + 3)^2 = [6 * x + 9 - 4 * x - 6] / (2 * x + 3)^2 = 1 / (2 * x + 3);

4) y = (2 - 3 * x^4) = (2 - 3 * x^4)^(1 / 2);

у = (1 / 2) * (2 - 3 * х^4)^(- 1 / 2) * (- 3 * 4 * x^3) = (- 6 * x^3) / (2 - 3 * x^4).