<span>
x</span>² - 16x + 64 + 5x - 40<span>
X^2-11x+24/x-8 = --------------------------------- =
x - 8
(x - 8)</span>² + 5*(x - 8) <span>
= ------------------------- = x - 8 + 5 = x - 3
x - 8</span>
Y = ln ((1 -3x)/(1 +3x))^2/3 = 2/3 ln ((1 -3x)/(1 +3x))
y' = 2/3*1/ ((1 -3x)/(1 +3x)) *((1 -3x)/(1 +3x))' =
= 2/3*1/ ((1 -3x)/(1 +3x)) * (-3(1+3x) - 3(1 -3x))/(1 +3x)² =
= 2/3*1/ ((1 -3x)/(1 +3x)) * (-3 -9x -3 +9x)/(1 + 3x)² =
= - 2/3*1/ ((1 -3x)/(1 +3x)) * 6/(1 +3x)²