У=12tgx-12x+3π-6 [-π/4;π/4]
y`=12/cos²x -12=12(1-cos²x)/cos²x=0
1-cos²x=0
sin²x=0
(1-cos2x)/2=0
cos2x=1
2x=2πn
x=πn
n=0 x=0∈[-π/4;π/4]
y(-π/4)=12*(-1)+3π+3π-6=-18+6π≈0,84 наименьшее
y(0)=12*0-12*0+3π-6=3π-6≈3,42
y(π/4)=12*1-3π+3π-6=6 наибольшее
<span>2x(x−20)</span>²<span>−x</span>²<span>(x−20)=0
x-(x-20)*(2x-40-x)=0
x*(x-20)*(x-40)=0
x=0 x</span>₁=0<span>
x-20=0 x</span>₂=20<span>
x-40=0 x</span>₃=40<span>
</span>
log2 x+6log4 x+9log8 x=14