H(x)=9-10x p(x)=4x2+x-3 s(x)=x2-2/x2+2

Вычислим производные функций:

1) H (x) = 9 - 10 * x; 

H \' (x) = (9 - 10 * x) \' = 9 \' - 10 * x \' = 0 - 10 * 1 = -10;

2) p (x) = 4 * x^2 + x - 3; 

p \' (x) = (4 * x^2 + x - 3) \' = 4 * (x^2) \'  + x \' - 3 \' = 4 * 2 * x^(2 - 1) + 1 - 0 = 8 * x + 1;

3) s (x) = (x^2 - 2)/(x^2 + 2); 

s \' (x) = ((x^2 - 2)/(x^2 + 2)) \' = ((x^2 - 2) \' * (x^2 + 2) - (x^2 + 2) \' * (x^2 - 2))/(x^2 + 2)^2 = ((2 * x - 0) * (x^2 + 2) - (2 * x + 0) * (x^2 - 2))/(x^2 + 2)^2 = (2 * x * (x^2 + 2) - 2 * x * (x^2 - 2))/(x^2 + 20^2 = (2 * x * (x^2 + 2 - x^2 + 2)/(x^2 + 2)^2 = (2 * x * 4)/(x^2 + 2)^2 = 8 * x/(x^2 + 2)^2.