y²/1) = 8+12+4=19 21.0! Ленция 3 Найти производную 2 2) x² - x 8)(3x)² 4) (-17呎) 2 5)(-4x13 6) (0,5x13 7) (13x)²+26 8(82)²-16 がな。 3 21(5. 3)% 7) (2

Решение:

1. $$y = x^2 + x$$
   $$y' = (x^2)' + (x)' = 2x + 1$$
   Ответ: $$y' = 2x + 1$$
2. $$y = x^2 - x$$
   $$y' = (x^2)' - (x)' = 2x - 1$$
   Ответ: $$y' = 2x - 1$$
3. $$y = (3x)^2 = 9x^2$$
   $$y' = (9x^2)' = 9(x^2)' = 9 \cdot 2x = 18x$$
   Ответ: $$y' = 18x$$
4. $$y = (-17x)^2 = 289x^2$$
   $$y' = (289x^2)' = 289 \cdot 2x = 578x$$
   Ответ: $$y' = 578x$$
5. $$y = (-9x)^3 = -729x^3$$
   $$y' = (-729x^3)' = -729 \cdot 3x^2 = -2187x^2$$
   Ответ: $$y' = -2187x^2$$
6. $$y = (0.5x)^3 = 0.125x^3$$
   $$y' = (0.125x^3)' = 0.125 \cdot 3x^2 = 0.375x^2$$
   Ответ: $$y' = 0.375x^2$$
7. $$y = (13x)^2 + 26 = 169x^2 + 26$$
   $$y' = (169x^2)' + (26)' = 169 \cdot 2x + 0 = 338x$$
   Ответ: $$y' = 338x$$
8. $$y = (8x)^2 - 16 = 64x^2 - 16$$
   $$y' = (64x^2)' - (16)' = 64 \cdot 2x - 0 = 128x$$
   Ответ: $$y' = 128x$$