2х²+7х-4=0, D=81, x1=1/2 U x2=-4
2(x-1/2)(x+4)/(x-4)(x+4)=2(x-1/2)/x-4=2x-1/x-4
Вроде,так...........................
<span>2sin^4x+3(cos^2x-sin^2x)+1=0 2sin^4x+3(1-sin^2x-sin^2x)+1=0 2sin^4x+3-6sin^2x+1=0 2sin^4x-6sin^2x+4=0 sin^2x=y</span>
Если x=3 то можно поставить знак "="
Значит при <span>х > 3 </span>
7) y=x⁷⁰*sin(x)
y'=(x⁷⁰)'*sin(x)+x⁷⁰*(sin(x))'=70*x⁶⁹*sin(x)+x⁷⁰*cos(x)=
=x⁶⁹*(70*sin(x)+x*cos(x)).
8) y=(x⁵-1)/(x⁶+1)
y'=((x⁵-1)'*(x⁶+1)-(x⁵-1)*(x⁶+1))/(x⁶+1)²=(5x⁴*(x⁶+1)-6x⁵*(5x-1))/(x⁶-1)²=
=(x⁴*(5*(x⁶+1)-6x*(x⁵-1))/(x⁶+1)²=x⁴*(5x⁶+5-6x⁶+6x)/(x⁶+1)²=
=x⁴*(-x⁶+6x+5)/(x⁶+1)².