7x=-3|:7
x=-3/7
|x|-5=0
x=5
4,1-|x|=5
x=5-4,1
x=0,9
9|x|-6=0
9x=6|:9
x=2/3
7/4=x/2
7*2=4x
-4x=-14:(-4)
x=3,5
7x=x+25
7x-x=25
6x=25:6
x=4 1/6
3x+16=9-10x
3x+10x=9-16
13x=-7:13
x=-7/13
-34/10(x+102/11)=-68
-34/10x-1734/55=-68
-34/10x=-68+ 31 29/55
-34/10x=-36 26/55:(-34/10)
x=2006/55*10/34=20060/1870=4012/374=2006/187
2m/3-4m/5=3/1|*15
10m-12m=45
-2m=45:(-2)
m=-22,5
3(x-1)+5(x+2)=1-4x
3x-3+5x+10=1-4x
8x+4x=1+3-10
12x=-6:12
x=-0,5
2(3-5p)=4(1-p)-1
6-10p=4-4p-1
-10p+4p=3-6
-6p=-3:(-6)
x=0,5
-4(5-2m)+3(m-4)=6(2-m)-5m
-20+8m+3m-12=12-6m-5m
11m+11m=12+12+20
22m=44:22
x=2
Пошаговое объяснение:
1) ((1-x^2)^(-2))` = -2/(1-x^2)^3 * (-2x) = 4x / (1-x^2)^3
2) 4*sin*x * cosx - 7 * cosx = 2*sin(2x) - 7*cosx
3) 2*cos(2x)*cos(3x) - 3*sin(2x)*sin(3x)
4) y ' = lnx-1 + x*1/x = lnx
5) (e^x*2^x - e^x * 2^x * ln2) / 2^(2x) = (e/2)^x *(1 - ln(2)) = (e/2)^x * ln(e/2)
6) 1 / ((sin(2x))^2) * 2*sin(2x) * cos(2x) * 2 = (4*sin(2x)*cos(2x)) / ((sin(2x))^2) = 4*cos(2x) / (sin2x) = 4*ctg(2x)
7) 5*(xe^(2x) + 3)^4 * (e^(2x) + 2*x*e^(2x)) = 5*e^(2x) * (2x+1) * (xe^(2x) + 3)^4
8) y ' = (-(sinx)^2 - (cosx)^2) / (sinx)^2 = - 1 / (sinx)^2
y() ' = - 1 / (1/)^2 = -2
9, 10) не до конца видно задания
