Решите производные )1.y=2-3x^2-x^3 2.y=(x+1)^2(x-1)^23.y=2x^3-3x^2-44.y=-x^3+3x^2-25.y=(x-1)^2(x-3)^26.y=-2x+6+3^3(x-3)^27.y=0,25(x^3 + 3x^2)-58.y=6x-9x^3

Вычислим производные:

1. y = 2 - 3 * x^2 - x^3; 

y = -6 * x - 3 * x^2;

2. y = (x + 1)^2 * (x - 1)^2;

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

3. y = 2 * x^3 - 3 * x^2 - 4;

y = 6 * x^2 - 6 * x;

4. y = -x^3 + 3 * x^2 - 25.

y = -3 * x^2 + 6 * x;

5. y = (x - 1)^2 * (x - 3)^2;

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

6. y = -2 * x + 6 + 3^3 * (x - 3)^2;

y = -2 + 27 * 2 * (x - 3) = -2 + 54 * (x - 3) = 54 * x - 54 * 3 - 2 = 54 * x - 164;

7. y = 0,25 * (x^3 + 3 * x^2) - 5;

y = 0.25 * (3 * x^2 + 6 * x);

8. y = 6 * x - 9 * x^3; 

y = 6 - 27 * x^2.