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extreme (2x)/(x^2-4)
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extreme\:\frac{2x}{x^{2}-4}
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monotone intervals f(x)=(x^2)/(x^2-1)
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monotone\:intervals\:f(x)=\frac{x^{2}}{x^{2}-1}
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extreme (2x)/(x^2-1)
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extreme\:\frac{2x}{x^{2}-1}
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mínimo f(x,y)=3x^4+3y^4-xy
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mínimo\:f(x,y)=3x^{4}+3y^{4}-xy
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extreme s^3
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extreme\:s^{3}
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extreme f(x)=sin(7x)
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extreme\:f(x)=\sin(7x)
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extreme f(x)=(x^2-3)/(x+2)
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extreme\:f(x)=\frac{x^{2}-3}{x+2}
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extreme f(x)=x^4e^{-x}
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extreme\:f(x)=x^{4}e^{-x}
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extreme f(x)=2x-5x^2-2xy-3y^2+3y
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extreme\:f(x)=2x-5x^{2}-2xy-3y^{2}+3y
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extreme f(x)=-0.12x^2+168x+200
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extreme\:f(x)=-0.12x^{2}+168x+200
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extreme f(x)=(ln(x))/(x^4)
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extreme\:f(x)=\frac{\ln(x)}{x^{4}}
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extreme (2x^2)/(x^2-9)
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extreme\:\frac{2x^{2}}{x^{2}-9}
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domínio f(x)=x^2+2x-1
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domínio\:f(x)=x^{2}+2x-1
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extreme x^3ln(x)
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extreme\:x^{3}\ln(x)
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extreme f(x)=x^3-6x^2-15x+1
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extreme\:f(x)=x^{3}-6x^{2}-15x+1
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extreme (4x^2)/(x^2-4)
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extreme\:\frac{4x^{2}}{x^{2}-4}
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extreme (e^x)/(x^2)
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extreme\:\frac{e^{x}}{x^{2}}
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extreme f(x)=2x^3-4x^2-x
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extreme\:f(x)=2x^{3}-4x^{2}-x
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extreme f(x)=\sqrt[3]{x^2}
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extreme\:f(x)=\sqrt[3]{x^{2}}
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extreme f(x)=2x^3-21x^2+60x,0<= x<= 6
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extreme\:f(x)=2x^{3}-21x^{2}+60x,0\le\:x\le\:6
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extreme f(x)=e^{x^2-6x-1}
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extreme\:f(x)=e^{x^{2}-6x-1}
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extreme f(x)=4x^3-50x^2+150x
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extreme\:f(x)=4x^{3}-50x^{2}+150x
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extreme f(x)=-x^2+6x
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extreme\:f(x)=-x^{2}+6x
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domínio f(x)=(3x)/(x^2+3)
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domínio\:f(x)=\frac{3x}{x^{2}+3}
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extreme f(x)=(x-1)^3(x+1)^3
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extreme\:f(x)=(x-1)^{3}(x+1)^{3}
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f(x,y)=x^2-xy+y^2
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f(x,y)=x^{2}-xy+y^{2}
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extreme f(x)=3x^{1/2}-x^{3/2}
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extreme\:f(x)=3x^{\frac{1}{2}}-x^{\frac{3}{2}}
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extreme f(x)=3x^4-8x^3
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extreme\:f(x)=3x^{4}-8x^{3}
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extreme f(x)=3x^5-10x^3
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extreme\:f(x)=3x^{5}-10x^{3}
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f(x,y)=3x^2-2y^2
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f(x,y)=3x^{2}-2y^{2}
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extreme f(x,y)=2x^2+3xy+y^2+ax+5
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extreme\:f(x,y)=2x^{2}+3xy+y^{2}+ax+5
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extreme f(x)=6x
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extreme\:f(x)=6x
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extreme f(x)=4xln(x)
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extreme\:f(x)=4x\ln(x)
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extreme f(x)=x+atan(x)
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extreme\:f(x)=x+a\tan(x)
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domínio g(x)=(\sqrt[4]{x})^5
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domínio\:g(x)=(\sqrt[4]{x})^{5}
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f(x)=x^2+xy+y^2+3x-3y+4
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f(x)=x^{2}+xy+y^{2}+3x-3y+4
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extreme f(x)=(x^2+1)/(x^2-9)
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extreme\:f(x)=\frac{x^{2}+1}{x^{2}-9}
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extreme f(x,y)=xy+ln(x)+32y^2
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extreme\:f(x,y)=xy+\ln(x)+32y^{2}
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extreme f(x)=x(x-1)^2(x-2)^3
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extreme\:f(x)=x(x-1)^{2}(x-2)^{3}
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extreme f(x)=x^5-x^3
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extreme\:f(x)=x^{5}-x^{3}
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extreme f(x,y)=2xy
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extreme\:f(x,y)=2xy
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extreme x^4ln(x)
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extreme\:x^{4}\ln(x)
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extreme f(x)=x^4-18x^2+1
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extreme\:f(x)=x^{4}-18x^{2}+1
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extreme f(x)=-(6x)/(6x^2+8)
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extreme\:f(x)=-\frac{6x}{6x^{2}+8}
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f(x,y)=(9+xy)(x+y)
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f(x,y)=(9+xy)(x+y)
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simetría y=3x^2-6x
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simetría\:y=3x^{2}-6x
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extreme f(x)= 1/3 x^3+x^2
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extreme\:f(x)=\frac{1}{3}x^{3}+x^{2}
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extreme f(x)=3x^5-5x^3+1
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extreme\:f(x)=3x^{5}-5x^{3}+1
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extreme f(x)=x^3+3x^2-9x+5
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extreme\:f(x)=x^{3}+3x^{2}-9x+5
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extreme f(x)=5x^3+2x^2-3x
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extreme\:f(x)=5x^{3}+2x^{2}-3x
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f(x)= x/(x^2+y^2)
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f(x)=\frac{x}{x^{2}+y^{2}}
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extreme f(x)=(-12x^3+x)/x
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extreme\:f(x)=\frac{-12x^{3}+x}{x}
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extreme (e^x)/(1-e^x)
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extreme\:\frac{e^{x}}{1-e^{x}}
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extreme f(x,y)=x^2+2y^2
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extreme\:f(x,y)=x^{2}+2y^{2}
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extreme f(x)=2x^3+24x^2+72x
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extreme\:f(x)=2x^{3}+24x^{2}+72x
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f(x,y)=2x^3-3x^2+2y^3-6y^2
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f(x,y)=2x^{3}-3x^{2}+2y^{3}-6y^{2}
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rango 2x^3-4
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rango\:2x^{3}-4
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f(x,y)=(x+1,y-1)
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f(x,y)=(x+1,y-1)
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f(x,y)=xy-y
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f(x,y)=xy-y
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f(x,y)=xy+x
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f(x,y)=xy+x
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extreme f(x)=-9x^2+126x-45
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extreme\:f(x)=-9x^{2}+126x-45
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extreme 3x^2ln(x)
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extreme\:3x^{2}\ln(x)
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f(x,y)=6xy-x^3-3y^2
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f(x,y)=6xy-x^{3}-3y^{2}
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extreme f(x)=8y^2+5x^2-10y+6x-10
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extreme\:f(x)=8y^{2}+5x^{2}-10y+6x-10
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extreme f(x)=2x^3-3x^2-12x-1
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extreme\:f(x)=2x^{3}-3x^{2}-12x-1
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f(x,y)=x^3+y^2+3/2 x^2-6x-4y+3
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f(x,y)=x^{3}+y^{2}+\frac{3}{2}x^{2}-6x-4y+3
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extreme f(x)=2x^3+3x^2-36x+5
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extreme\:f(x)=2x^{3}+3x^{2}-36x+5
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extreme points (2x-1)ln(2x-1)
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extreme\:points\:(2x-1)\ln(2x-1)
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extreme f(x,y)=(x^2+y^2)e^{y^2-x^2}
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extreme\:f(x,y)=(x^{2}+y^{2})e^{y^{2}-x^{2}}
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f(x)=sqrt(-ln(1/(x+y)))
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f(x)=\sqrt{-\ln(\frac{1}{x+y})}
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extreme f(x)=2+12x+3x^2-2x^3
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extreme\:f(x)=2+12x+3x^{2}-2x^{3}
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f(x,y)=sqrt(9-x^2-9y^2)
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f(x,y)=\sqrt{9-x^{2}-9y^{2}}
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extreme f(x)=x^4+2x^3-2x^2+2
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extreme\:f(x)=x^{4}+2x^{3}-2x^{2}+2
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extreme f(x)=5-x^2
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extreme\:f(x)=5-x^{2}
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extreme f(x)= 2/x
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extreme\:f(x)=\frac{2}{x}
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extreme x^4-5x^3
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extreme\:x^{4}-5x^{3}
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extreme f(x)=4x^3-3x^2-6x+3,-1<= x<= 10
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extreme\:f(x)=4x^{3}-3x^{2}-6x+3,-1\le\:x\le\:10
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extreme f(x)= 8/(3x^2+4)
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extreme\:f(x)=\frac{8}{3x^{2}+4}
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punto medio (-7,2)(9,-9)
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punto\:medio\:(-7,2)(9,-9)
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extreme f(x)=2sin(x)
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extreme\:f(x)=2\sin(x)
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extreme f(x)=ln(x-y)+x^2+y
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extreme\:f(x)=\ln(x-y)+x^{2}+y
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extreme f(x,y)=x^3-y^3-2xy+6
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extreme\:f(x,y)=x^{3}-y^{3}-2xy+6
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extreme sin(x)-x
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extreme\:\sin(x)-x
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extreme f(x)=3x^3-36x
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extreme\:f(x)=3x^{3}-36x
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f(x,y)=sqrt(y)+sqrt(9-x^2-y^2)
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f(x,y)=\sqrt{y}+\sqrt{9-x^{2}-y^{2}}
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extreme f(x)=-x^2+160x-400
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extreme\:f(x)=-x^{2}+160x-400
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extreme x^2-4x
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extreme\:x^{2}-4x
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x^y
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x^{y}
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extreme f(x)=xsqrt(3+x)
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extreme\:f(x)=x\sqrt{3+x}
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domínio (sqrt(4x-11))/(x-9)
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domínio\:\frac{\sqrt{4x-11}}{x-9}
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paridad f(x)=(2x^3+3x+3)/(5x^3+4x-3)
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paridad\:f(x)=\frac{2x^{3}+3x+3}{5x^{3}+4x-3}
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F(x,y)=x^2+x^2y+y^2+1
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F(x,y)=x^{2}+x^{2}y+y^{2}+1
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extreme f(x)=-(5x)/(4x^2+7)
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extreme\:f(x)=-\frac{5x}{4x^{2}+7}
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extreme f(x)=x^3-6x^2+9
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extreme\:f(x)=x^{3}-6x^{2}+9
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extreme f(x)=e^{-1.5x^2}
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extreme\:f(x)=e^{-1.5x^{2}}
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extreme f(x)=x^3-9x^2+24x-2
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extreme\:f(x)=x^{3}-9x^{2}+24x-2
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extreme f(x,y)=2x^2+3xy+4y^2+7x+11y
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extreme\:f(x,y)=2x^{2}+3xy+4y^{2}+7x+11y
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extreme f(x)=x^4-5x^2
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extreme\:f(x)=x^{4}-5x^{2}
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extreme f(x)=2x^2-8x+y^2+16y+100
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extreme\:f(x)=2x^{2}-8x+y^{2}+16y+100
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f(x,y)=2x^3+9xy^2+15x^2+27y^2
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f(x,y)=2x^{3}+9xy^{2}+15x^{2}+27y^{2}
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