1) раскроем скобки и затем возьмем производную
(2x - 3)(1 - x^3) = 2x - 2x^4 - 3 + 3x^3
F' = 2 - 2*4*x^3 + 3*3*x^2 = -8x^3 + 9x^2 + 2
2) ( (1 + 2x)/(3 - 5x) )' = (2*(3 - 5x) - (1 + 2x)*(-5)) / (3 - 5x)^2 = (6 - 10x + 5 + 10x) / (3 - 5x)^2 = 11/(3 - 5x)^2
3) (x^2 / (2x - 1))' = (2x*(2x - 1) - 2x^2) / (2x - 1)^2) = 2x*(x - 1) / (2x - 1)^2
ОДЗ x^2-3<span>≠0</span>
x^2<span>≠3</span>
<span>x<span>≠корень 3</span></span>
<span><span>
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<span><span>ОДЗ</span></span>
x^2+6x-7<span>≠0</span>
<span>x1<span>≠1; x2<span>≠-7</span></span></span>
Д)(79/12-86/15)*(20/17-10/17)
к общ знаменателю
(395/60-344/60)*10/17
51/60*10/17
сокращаем:
3/6=1/2=0,5
е)(по действиям)
1)2/3*9/16=3/8
2)5/24*2/5=1/12
3)3/8-1/12=
К общ знамен
9/24-2/24=7/24
4)7/24-1/6
к общ знамен
7/24-4/24=3/24=1/8