§ 37: 37.1

37.1 Знайдіть похідну функції:

1) y’ = (x²)’ – (3x²)’ + (6x)’ – (10)’ = 3x² – 3 • 2x + 6 = 3x² – 6x + 6;

2) y’ = (4x⁵)’ + (20x)’ = 4 • 6x⁵ + 20 • 12x = 24x⁵ + 10x;

3) y’ = (x⁶)’ + (7x⁶)’ + (4x)’ – 1’ = 8x⁷ + 7 • 6x + 4 • (–1x2) = 8x⁷ + 42x – 4x2;

4) y’ = (4sinx)’ – (5cosx)’ = 4cosx + 5sinx;

5) y’ = (tgx)’ – (9x)’ = 1cos2x – 9;

6) y’ = (2x^–2)’ + (3x^–3)’ = 2 • (–2x^–3) + 3 • (–3x^–4) = –4^–3 – 9x^–4.