Y`=2e^2x*(3x+2)+e^2x*3=e^2x*(6x+4+3)=e^2x*(6x+7)=0
6x+7=0 e^2x>0 при любом х
6х=-7⇒х=-7/6
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убыв. -7/6 возр.
min
y(-7/6)=e^-7/3*(-7/2+2)=-1,5e^-7/3
(-7/6;-1,5e^-7/3)-точка экстремума
U = arccos (- 4/5)
v = arcsin 1/3
sin(u + v) = sin(arccos (- 4/5)).cos(arcsin 1/3) + cos(arccos (- 4/5)).sin(arcsin (1/3)) =
= √[1 – (- 4/5)²] * √[1 – (1/3)²] + (- 4/5)*(1/3) = √[1 – 16/25] * √[1 – 1/9] - 4/15 =
= √[(9/25)*(8/9)] – 4/15 = (2√2) / 5 - 4/15 = (6√2 - 4) / 15