<span>4*(3-2х)+24=2*(3+2х)</span>
12-8x+24=6+4x
4x+8x=24+12-6
12x=30
X=30/12
x=2,5
<span>sinxcos2x-sin3x=0 ;
</span>sinxcos2x-sin(x+2x) =0 <span>;
</span>sinxcos2x-(sinxcos2x+sin2xcosx) =0 <span>;
</span>sinxcos2x- sinxcos2x - <span>sin2xcosx =0 ;
</span>- sin2xcosx =0 ;
sin2x =0 ⇒2x =π*k⇔ x=π*k/2 ;k<span>∈Z.
</span>cosx =0 ⇒x = π/2 +π*k ;k<span>∈Z.</span>
<span>1)y=cos(3x+2) = cos3x*cos2-sin3x*sin2</span>
<span>y' = (cos3x*cos2-sin3x*sin2)' = (cos3x*cos2)' - (sin3x*sin2)' = (cos3x)' *cos2+cos3x*(cos2)' - (sin3x)' *sin2+sin3x*(sin2)' = -sin3x*cos2-cos3x*sin2-cos3x*sin2+sin3x*cos2=-2cos3x*sin2</span>
<span>2)<span>y=-x^3-2sin2x = -3x² - 4cos2x</span></span>