Ответ. 1. y(x)=e^x-(2*x)^0,5; dy(x)/dx=e^x-(0,5*2^0,5)/(x^0,5);
2.y(x)=2*sin(3*x)+tg(x)-3;dy(x)/dx=6*cos(3*x)+1/((cos(x))^2);
3.y(x)=2*sin(x)+cos(x)-x^3; dy(x)/dx=2*cos(x)-sin(x)-3*x^2;
4.y(x)=2*ln(x)-4*x^4+3*x;dy(x)/dx=2/x-16*x^3+3;
<span>5. y(x)=2*tg(x)- x^4 + 3*x; dy(x)/dx=2/(((cos(x))^2)-4*x^3+3;</span>
2sinα·cosα=sin2α;
2sin75⁰·cos75⁰=sin150⁰;
sin150⁰=sin(180⁰-30⁰)=sin30⁰=1/2
х^2+у^2-2х-4у+5=0
x^2-2x+1+y^2-4y+4+5-1-4=0
(x-1)^2+(y-2)^2=0
x=1
y=2