§ 37: 37.2 (1-4)

37.2 Знайдіть похідну функції:

1) y’ = (2x⁵)’ – x’ = 2 • 5x⁴ + 1 = 10x⁴ – 1;

2) y’ = (x⁷)’ – (4x)’ = 7x⁶ – 4 • 12x = 7x⁶ – 2x;

3) y’ = (–3sinx)’ + (2cosx)’ = –3cosx – 2sinx;

4) y’ = x’ – (5x)’ = 1 – 5 • (–1x2) = 1 + 5x2;

5) y’ = 12’ – (ctgx)’ = –(–1sin2x) = 1sin2x;

6) y’ = (0,4x^–5)’ + (3)’ = 0,4 • (–5x^–8) = –2x^–6.