<span>F(x) = a*cos(2x) + b*sin(4x); </span>
<span><span>F'(x)= -2*a*sin(2x) + 4*b*cos(4x);</span></span>
<span><span><span>F'(7П/12)= 4 = -2*a*sin(7П/6) + 4*b*cos(7П/3) = 2*a*sin(П/6) + 4*b*cos(П/3) = a + 2*b;</span></span></span>
<span><span><span><span>F'(3П/4)= 2 = -2*a*sin(3П/2) + 4*b*cos(3П) = 2*а - 4*b;</span></span></span></span>
<span><span><span><span>a + 2*b = 4;</span></span></span></span>
<span><span><span><span>a - 2*b = 1;</span></span></span></span>
<span><span><span><span>a = 5/2; b = 3/4;</span></span></span></span>
Y^2-y^2+2y+4=0 2y=-4 y=-2
x=y x=y x=-2
Y`=e^x*(3x-2)+e^x*3=e^x*(3x-2+3)=e^x(3x+1)=0⇒x=-1/3
_ +
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убыв -1/3 возр
min
y(-1/3)=1/e^1/3*(3*(-1/3)-2)=1/∛e^x*(-3)=-3/∛e^x