3)<span>(х + 4)^2 - х^2 = 2х + 1
х</span>^2+8х+16-х^2 -2х-1=0
8х-2х= -16+1
6х= -15
х= -15/6
<span>4) х (х^2 - 2) = х^3 +8
</span>х^3-2х=х^3 +8
х^3-2х-х^3 -8=0
-2х=8
х= -4
y'(x) = 6x^2 - 6x - 36 = 0
6(x^2 - x - 6) = 0
6(x - 3)(x + 2) = 0
x1 = -2; y(-2) = 2(-8) - 3*4 - 36(-2) + 40 = -16 - 12 + 72 + 40 = 84
x2 = 3; y(3) = 2*27 - 3*9 - 36*3 + 40 = 54 - 27 - 108 + 40 = -41
Под С(19;^19) так как первое число на ординате(у),а второе на обсциссе(корень из х)
2sin3x=-1
sin3x=-1/2
3x=-п/6+2пn,n€z
x=-п/18+2пn/3,n€z
3x=7п/6+2пn,n€z
x=7п/18+2пn/3,n€z
-п≤-п/18+2пn/3≤п
-п+п/18≤2пn/3≤п+п/18 |:п
-1+1/18≤2n/3≤1+1/18
-17/18≤2n/3≤19/18 |*3
-17/6≤2n≤19/6 |:2
-17/12≤n≤19/12
при n=0 x=-п/18
при n=-1 x=-п/18-2п/3=-п/18-12п/18=-13п/18
при n=1 x= -п/18+2п/3=-п/18+12п/18=11п/18
-п≤7п/18+2пn/3≤п |:п
-1≤7/18+2n/3≤1
-1-7/18≤2n/3≤1-7/18
-25/18≤2n/3≤11/18 |*3
-25/6≤2n≤11/6 |:2
-25/12≤n≤11/12
при n=-2 x=7п/18-4п/3=7п/18-24п/18=-17п/18
при n=-1 x=7п/18-2п/3=7п/18-12п/18=-5п/18
при n=0 x=7п/18
1) y'=(2cos5x)'=-2sin5x*5=-10sin5x;
2) y'=(√x³)'=(x^(3/2)'=3/2x^(1/2)=3/2√x;
3) y'=((5x+7)^6)'=6(5x+7)^5*5=30(5x+7)^5.