1)y=sin2x
y`=(sin2x)`=cos2x*(2x)`=2cos2x
2)f(x)=x²-2x
D(f)=R
f`(x)=(x²-2x)`=2x-2=2(x-1)
f`(x)=0 2(x-1)=0
x-1=0
x=1
- +
-----------------(1)---------------
min
x(min)=1-экстремум функции
4.
а)
(7х+1)-(6х+3)=5
7х+1-6х-3=5
7х-6х=5-1+3
х=7
б)
(8х+11)-13=9х-5
8х+11-13=9х-5
8х-9х=-5-11+13
-х=-3
х=3
в)
2=(3х-5)-(7-4х)
2=3х-5-7+4х
2+5+7=3х+4х
14=7х
х=2
г)
8х+5=119+(7-3х)
8х+5=119+7-3х
8х+3х=119+7-5
11х=121
х=11
5sin²2x + 5cos²2x - 9 = <span>5*(sin²2x + cos²2x) - 9 = 5*1 - 9 = 5 - 9 = - 4
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