Производная 1) 7-3x^6+8x 2) sin3x 3) 2cos(1-9x) 4)5+tgx 5)(2x-3)(x+8) 6) x5

1) (7 - 3x^6 + 8x) = 0 - 3 * 6 * х^5 + 8 = -18x^5 +8;

2) (sin3x) = cos3x * (3x) = 3cos3x;

3) 2cos(1 - 9x) )= 2 * (-sin(1 - 9x)) * (-9) = 18sin(1 - 9x);

4) (5+tgx) = 5 + (tgx) = 1/cos^2x;

5)(2x - 3)(x + 8) = (2x - 3)(x + 8) * (2x - 3)(x + 8) = 2(x + 8)(2x - 3);

6) x^5 - 1 + x^3 = 5x^4 + 3x^2;

7) (4x + 2)^3 = 3(4x + 2)^2 * 4 = 12(4x + 2)^2;

8) sqrt(1 - 6x) = (1 - 6x)^1/2 = -6 * 1/2 * (1 - 6x)^(-1/2) = -3/sqrt(1 - 6x);

9) 5cos(3x + 2) = 5 * 3 * (-sin(3x + 2) = -15 sin(3x + 2);

10) ctg7x - 10 = -1/sin^2(7x) * 7 = -7/sin^2(7x).