extreme f(x)=-1/2 x^3+3/2 x-1
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extreme\:f(x)=-\frac{1}{2}x^{3}+\frac{3}{2}x-1
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g(x,y)=sqrt(4-x^{(2))-y^{(2)}}
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g(x,y)=\sqrt{4-x^{(2)}-y^{(2)}}
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extreme-2x^2+200x
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extreme\:-2x^{2}+200x
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f(x,y)=3x-1.5xy+0.5y^3
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f(x,y)=3x-1.5xy+0.5y^{3}
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extreme f(x)=sin(x)*cos(x)
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extreme\:f(x)=\sin(x)\cdot\:\cos(x)
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extreme x^2+xy+y^2+4y
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extreme\:x^{2}+xy+y^{2}+4y
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asíntotas f(x)=(x^2-4)/(x^2-x-6)
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asíntotas\:f(x)=\frac{x^{2}-4}{x^{2}-x-6}
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f(x,y)=(2x+x^2)*(2y-y^2)
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f(x,y)=(2x+x^{2})\cdot\:(2y-y^{2})
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mínimo x^2+2y^2-xy
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mínimo\:x^{2}+2y^{2}-xy
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extreme f(x,y)=-3x^2+2y^2+3x-4y+4
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extreme\:f(x,y)=-3x^{2}+2y^{2}+3x-4y+4
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extreme f(x)=x^4-2x^2+x^3,-4<= x<=-1
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extreme\:f(x)=x^{4}-2x^{2}+x^{3},-4\le\:x\le\:-1
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extreme x^2+xy+y^2+7y
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extreme\:x^{2}+xy+y^{2}+7y
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extreme f(x,y)=xy+2x-ln(x^2y)
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extreme\:f(x,y)=xy+2x-\ln(x^{2}y)
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extreme f(x)=x^4+4x^2+1
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extreme\:f(x)=x^{4}+4x^{2}+1
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extreme f(x)=2x^3+9x^2-108x+7
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extreme\:f(x)=2x^{3}+9x^{2}-108x+7
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extreme 150+8x^3+x^4
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extreme\:150+8x^{3}+x^{4}
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extreme 1
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extreme\:1
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rango f(x)=x^2-x+3
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rango\:f(x)=x^{2}-x+3
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extreme f(x)=-3x^4+4x^3+72x^2
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extreme\:f(x)=-3x^{4}+4x^{3}+72x^{2}
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extreme f(x,y)=16-x^2-y^2
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extreme\:f(x,y)=16-x^{2}-y^{2}
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extreme f(x)=(x^2-1)/x
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extreme\:f(x)=\frac{x^{2}-1}{x}
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extreme f(x)=(x-6)/(x^2-16),0<= x<4
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extreme\:f(x)=\frac{x-6}{x^{2}-16},0\le\:x<4
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mínimo (4-x)4^x
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mínimo\:(4-x)4^{x}
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extreme x^2+2/x
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extreme\:x^{2}+\frac{2}{x}
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extreme x^3-3/2 x^2,-1<= x<= 4
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extreme\:x^{3}-\frac{3}{2}x^{2},-1\le\:x\le\:4
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extreme f(x)=ln(x^2+3x+12)
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extreme\:f(x)=\ln(x^{2}+3x+12)
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extreme f(x)=x^3-6x^2+9x+7
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extreme\:f(x)=x^{3}-6x^{2}+9x+7
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extreme 1-2/(x^2+1)
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extreme\:1-\frac{2}{x^{2}+1}
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inversa f(x)=(7-x)^2
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inversa\:f(x)=(7-x)^{2}
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extreme g(x)=2x^3-6x+3,-2<= x<= 2
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extreme\:g(x)=2x^{3}-6x+3,-2\le\:x\le\:2
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extreme x((200-x)/2)
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extreme\:x(\frac{200-x}{2})
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extreme f(x)=4x^5+10x^4-100x^3+1
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extreme\:f(x)=4x^{5}+10x^{4}-100x^{3}+1
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extreme 5x(2x+4)-3x
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extreme\:5x(2x+4)-3x
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extreme f(x)=-4x^2+48x-108
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extreme\:f(x)=-4x^{2}+48x-108
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extreme f(x)=3x-5x^2,(-infinity <x<= 2)
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extreme\:f(x)=3x-5x^{2},(-\infty\:<x\le\:2)
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extreme f(x)=5(10-x)+3(sqrt(16+x^2))
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extreme\:f(x)=5(10-x)+3(\sqrt{16+x^{2}})
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extreme 13x^2-x^3
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extreme\:13x^{2}-x^{3}
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extreme f(x)=2+12x-x^2
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extreme\:f(x)=2+12x-x^{2}
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extreme f(x)=(x-3)(x+1)(x+4)
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extreme\:f(x)=(x-3)(x+1)(x+4)
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intersección f(x)=(6x)/(x^2-4)
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intersección\:f(x)=\frac{6x}{x^{2}-4}
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extreme f(x)=ln(13-9x^2+2x^4),x=1
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extreme\:f(x)=\ln(13-9x^{2}+2x^{4}),x=1
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extreme f(x)=x^3-5x^2+7x-3
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extreme\:f(x)=x^{3}-5x^{2}+7x-3
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extreme f(x)=3x^2-4y^3-6x+48y-1
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extreme\:f(x)=3x^{2}-4y^{3}-6x+48y-1
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extreme f(x)=x^2+y^2-8x+y
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extreme\:f(x)=x^{2}+y^{2}-8x+y
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extreme f(x)=12x^3-9x^2-108x+4
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extreme\:f(x)=12x^{3}-9x^{2}-108x+4
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mínimo f(x)=3x^2+6x-6
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mínimo\:f(x)=3x^{2}+6x-6
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extreme x^4-8x^2+16
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extreme\:x^{4}-8x^{2}+16
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extreme f(x)=3x-3
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extreme\:f(x)=3x-3
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extreme f(x)=-x^3-x^2+5x+1
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extreme\:f(x)=-x^{3}-x^{2}+5x+1
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extreme (30)/x+3pix^2
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extreme\:\frac{30}{x}+3πx^{2}
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critical points f(x)=-(2/(x^2+1))
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critical\:points\:f(x)=-(\frac{2}{x^{2}+1})
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extreme y=-x^3+6x^2
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extreme\:y=-x^{3}+6x^{2}
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f(x,y)=-3x^2+2xy-y^2+14x+2y+10
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f(x,y)=-3x^{2}+2xy-y^{2}+14x+2y+10
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extreme f(x)=x^2log_{6}(x)
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extreme\:f(x)=x^{2}\log_{6}(x)
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extreme y=(ln(x))/(x^4)
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extreme\:y=\frac{\ln(x)}{x^{4}}
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extreme 250+8x^3+x^4
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extreme\:250+8x^{3}+x^{4}
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mínimo f(x)=2x^3+24x+5
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mínimo\:f(x)=2x^{3}+24x+5
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extreme f(x)=e^{3x^2+8y^2+13}
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extreme\:f(x)=e^{3x^{2}+8y^{2}+13}
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extreme (3x)/(x^2+1)
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extreme\:\frac{3x}{x^{2}+1}
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extreme f(x)=-34x^2+550x
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extreme\:f(x)=-34x^{2}+550x
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extreme f(x)=sqrt(x)ln(9x),(0,infinity)
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extreme\:f(x)=\sqrt{x}\ln(9x),(0,\infty\:)
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domínio f(x)= 1/(sqrt(1+2x))
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domínio\:f(x)=\frac{1}{\sqrt{1+2x}}
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extreme x^4-2x^3+x+1
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extreme\:x^{4}-2x^{3}+x+1
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extreme-(8*x)/(x^2+1)
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extreme\:-\frac{8\cdot\:x}{x^{2}+1}
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extreme (x^2)/(x^2-36)
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extreme\:\frac{x^{2}}{x^{2}-36}
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extreme f(x)=-e^x+15e^{x/(14)}
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extreme\:f(x)=-e^{x}+15e^{\frac{x}{14}}
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extreme f(x)=x^2-y^2-5x-4y
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extreme\:f(x)=x^{2}-y^{2}-5x-4y
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extreme 20q-2q^2
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extreme\:20q-2q^{2}
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extreme f(x)= 1/(x-2),0<= x<= 1
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extreme\:f(x)=\frac{1}{x-2},0\le\:x\le\:1
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extreme f(r)=(r-8)^3
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extreme\:f(r)=(r-8)^{3}
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extreme f(x)=-x^3+4x^2
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extreme\:f(x)=-x^{3}+4x^{2}
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extreme f(x)=y=-(x+4)^2+8
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extreme\:f(x)=y=-(x+4)^{2}+8
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punto medio (0,1)(1,-1)
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punto\:medio\:(0,1)(1,-1)
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f(x,y)=2x-y-x^2+2xy-y
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f(x,y)=2x-y-x^{2}+2xy-y
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extreme f(x)=6(27-x)+10sqrt(256+x^2),0<= x<= 27
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extreme\:f(x)=6(27-x)+10\sqrt{256+x^{2}},0\le\:x\le\:27
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extreme f(x,y)=3xy-5x-2y+1
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extreme\:f(x,y)=3xy-5x-2y+1
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f(x,y)=(3y^2-x^2)e^{2x}
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f(x,y)=(3y^{2}-x^{2})e^{2x}
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extreme f(x)=-2x^2-2y^2+20x+16y+4
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extreme\:f(x)=-2x^{2}-2y^{2}+20x+16y+4
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extreme f(x)=x^2-sqrt(2x)+1/2
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extreme\:f(x)=x^{2}-\sqrt{2x}+\frac{1}{2}
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extreme f(x)= 1/9 x^4-4/9 x^3
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extreme\:f(x)=\frac{1}{9}x^{4}-\frac{4}{9}x^{3}
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mínimo 1/3 x^3-1/2 x^2-2x
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mínimo\:\frac{1}{3}x^{3}-\frac{1}{2}x^{2}-2x
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extreme f(x,y)=x^3-y^3-3xy
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extreme\:f(x,y)=x^{3}-y^{3}-3xy
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extreme f(x)=sqrt(x^2+y^2+1)
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extreme\:f(x)=\sqrt{x^{2}+y^{2}+1}
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intersección 15x^{2/3}-10x
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intersección\:15x^{\frac{2}{3}}-10x
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extreme f(x)=3x^2+2x^3
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extreme\:f(x)=3x^{2}+2x^{3}
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extreme f(x)=-5x^2+50x-80
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extreme\:f(x)=-5x^{2}+50x-80
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extreme f(x,y)=40000x+30000y-8x^2-15y^2-10xy
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extreme\:f(x,y)=40000x+30000y-8x^{2}-15y^{2}-10xy
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extreme f(x)=1-7x^2
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extreme\:f(x)=1-7x^{2}
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extreme f(x)=-12x^2+24x
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extreme\:f(x)=-12x^{2}+24x
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extreme f(x)=4x+4sin(x)
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extreme\:f(x)=4x+4\sin(x)
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x=2w(t)
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x=2w(t)
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extreme f(x)=x^{2/9}(2x+11)
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extreme\:f(x)=x^{\frac{2}{9}}(2x+11)
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extreme (-x^6-5x^3+5x)/(x^2+2)
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extreme\:\frac{-x^{6}-5x^{3}+5x}{x^{2}+2}
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extreme f(x)=x^3-3x^2-9x+1,-2<= x<= 2
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extreme\:f(x)=x^{3}-3x^{2}-9x+1,-2\le\:x\le\:2
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rango f(x)=log_{2}(x+5)
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rango\:f(x)=\log_{2}(x+5)
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extreme f(x)=sqrt(x)ln(8x),(0,infinity)
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extreme\:f(x)=\sqrt{x}\ln(8x),(0,\infty\:)
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f(x,y)=3x^3-12xy+y^3
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f(x,y)=3x^{3}-12xy+y^{3}
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extreme f(x)=19+2x-x^2,0<= x<= 5
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extreme\:f(x)=19+2x-x^{2},0\le\:x\le\:5
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extreme f(x)= 1/x-2/(x^2),2<= x<=-1
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extreme\:f(x)=\frac{1}{x}-\frac{2}{x^{2}},2\le\:x\le\:-1
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extreme f(x)=2x^3+3x^2-2x-0
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extreme\:f(x)=2x^{3}+3x^{2}-2x-0
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