(3cos^2x-sin^2x)sinx/cosx=cos^2x-3sin^2x
3cos^2xsinx-sin^3x=cos^3x-3sin^2xcosx
3sin^2xcosx+3cos^2xsinx=cos^3x+sin^3x
3sinxcox(cosx+sinx)=(cosx+sinx)(cos^2x+sin^2x-sinxcosx)
3sinxcosx(cosx+sinx)=(cosx+sinx)(1-sinxcosx)
(cosx+sinx)(3sinxcosx-1+sinxcosx)=0
(cosx+sinx)(4sinxcosx-1)=0
cosx+sinx=0
sinx=-cosx | :cosx ≠0
tgx=-1
x=-П/4+Пk
4sinxcosx-1=0
2*2sinxcosx=1
2sin2x=1
sin2x=1/2
2x=(-1)^kП/6+Пk
x=(-1)^kП/12+Пk/2
<span>4x^2 -2x-1=0
4x^2 - 2x= -1
2x= -1
x= -1\2
x= -0,5
</span>
log2 x+6log4 x+9log8 x=14
Раскрываем скобки : 2.7x-5-3.1x+4
приводим подобные : -0.4x-1
A) y`=2x*e²⁻ˣ-x²e²⁻ˣ
б)y`=sinx/(3∛cos²x)
b) у`=(4x)/(x²+1)²