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extreme f(x)=12+4x-x^2,0<= x<= 5
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extreme\:f(x)=12+4x-x^{2},0\le\:x\le\:5
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extreme e^{-x^2}
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extreme\:e^{-x^{2}}
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f(x,y)= 1/(ln(4-x^2-y^2))
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f(x,y)=\frac{1}{\ln(4-x^{2}-y^{2})}
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y=(x+1)^2
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y=(x+1)^{2}
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extreme f(x)=x^2+1/(x^2)
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extreme\:f(x)=x^{2}+\frac{1}{x^{2}}
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extreme f(x)=5x^{2/3}-x^{5/3}
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extreme\:f(x)=5x^{\frac{2}{3}}-x^{\frac{5}{3}}
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extreme f(x)=(x-1)^2(x+3)
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extreme\:f(x)=(x-1)^{2}(x+3)
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extreme f(x)=(x^2)/(x+1)
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extreme\:f(x)=\frac{x^{2}}{x+1}
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f(x,y)=4x^2+y^2
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f(x,y)=4x^{2}+y^{2}
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extreme f(x,y)=3x2y-y3+36x-15y+18
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extreme\:f(x,y)=3x2y-y3+36x-15y+18
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f(x,y)=xy(1-x-y)
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f(x,y)=xy(1-x-y)
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extreme f(x)=x^3+x^2-8x+5
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extreme\:f(x)=x^{3}+x^{2}-8x+5
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extreme f(x)=(x^2)/(x^2-4)
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extreme\:f(x)=\frac{x^{2}}{x^{2}-4}
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f(x,y)=2x^2+xy^2-6xy+5x+2
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f(x,y)=2x^{2}+xy^{2}-6xy+5x+2
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asíntotas f(x)=(24x^3+12x^2+7x+2)/(4x^2+4)
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asíntotas\:f(x)=\frac{24x^{3}+12x^{2}+7x+2}{4x^{2}+4}
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extreme f(x)=3x^4-4x^3+2
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extreme\:f(x)=3x^{4}-4x^{3}+2
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extreme f(x,y)=xy(1-x-y)
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extreme\:f(x,y)=xy(1-x-y)
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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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f(x)=sqrt(x+y)
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f(x)=\sqrt{x+y}
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extreme x^3-3x
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extreme\:x^{3}-3x
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extreme f(x)= x/((x+1)^2)
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extreme\:f(x)=\frac{x}{(x+1)^{2}}
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extreme f(x)=2x^3
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extreme\:f(x)=2x^{3}
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extreme f(x)=x^4-2x^2+2
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extreme\:f(x)=x^{4}-2x^{2}+2
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f(x,y)=x^3+y^3+3x^2-3y^2-8
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f(x,y)=x^{3}+y^{3}+3x^{2}-3y^{2}-8
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extreme f(x)=4x^3+3x^2-6x
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extreme\:f(x)=4x^{3}+3x^{2}-6x
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asíntotas f(x)=(x^3)/((x-2)^2)
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asíntotas\:f(x)=\frac{x^{3}}{(x-2)^{2}}
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extreme f(x)=x^5-5x
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extreme\:f(x)=x^{5}-5x
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extreme f(x)=x^3-3x^2+4
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extreme\:f(x)=x^{3}-3x^{2}+4
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f(x,y)=(xy)/(x-2y)
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f(x,y)=\frac{xy}{x-2y}
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extreme f(x)=-3x^{5/3}-15x^{2/3}
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extreme\:f(x)=-3x^{\frac{5}{3}}-15x^{\frac{2}{3}}
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f(x,y)=x^3+2y^3-3y^2-3x
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f(x,y)=x^{3}+2y^{3}-3y^{2}-3x
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extreme f(x)=x^4(x-2)(x+3)
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extreme\:f(x)=x^{4}(x-2)(x+3)
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extreme f(x)=x^3-6x^2+15
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extreme\:f(x)=x^{3}-6x^{2}+15
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extreme f(x)=x^2-4x+5
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extreme\:f(x)=x^{2}-4x+5
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extreme f(x)=-x^2+4x+8
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extreme\:f(x)=-x^{2}+4x+8
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f(x)=x^2-y^2
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f(x)=x^{2}-y^{2}
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domínio (\sqrt[3]{8-x})/(ln(x-4))
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domínio\:\frac{\sqrt[3]{8-x}}{\ln(x-4)}
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extreme f(x,y)= 1/x-(64)/y+xy
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extreme\:f(x,y)=\frac{1}{x}-\frac{64}{y}+xy
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mínimo-1/3 Q^3+8Q^2+9Q-100
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mínimo\:-\frac{1}{3}Q^{3}+8Q^{2}+9Q-100
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extreme f(x)=x^4+4/3 x^3-4x^2
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extreme\:f(x)=x^{4}+\frac{4}{3}x^{3}-4x^{2}
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extreme f(x)=sin(x)cos(x)
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extreme\:f(x)=\sin(x)\cos(x)
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extreme f(x)=(e^x)/x
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extreme\:f(x)=\frac{e^{x}}{x}
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extreme f(x)=3+2x-x^2
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extreme\:f(x)=3+2x-x^{2}
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extreme f(x)=x^3-2x^2+x+1
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extreme\:f(x)=x^{3}-2x^{2}+x+1
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extreme x/(x^2+4)
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extreme\:\frac{x}{x^{2}+4}
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extreme x/(x^2-9)
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extreme\:\frac{x}{x^{2}-9}
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extreme f(x)= x/(x-1)
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extreme\:f(x)=\frac{x}{x-1}
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domínio f(x)=x^2+y^2x^2-4y^2=0
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domínio\:f(x)=x^{2}+y^{2}x^{2}-4y^{2}=0
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f(x,y)=x^3+y^3-6xy
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f(x,y)=x^{3}+y^{3}-6xy
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extreme f(x)=x^3-3x^2+12
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extreme\:f(x)=x^{3}-3x^{2}+12
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extreme f(x)= 1/(x^2+1)
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extreme\:f(x)=\frac{1}{x^{2}+1}
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extreme f(x)=x^2-6x+8
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extreme\:f(x)=x^{2}-6x+8
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extreme f(x)=|x|
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extreme\:f(x)=\left|x\right|
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f(x,y)=1-x^2-y^2
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f(x,y)=1-x^{2}-y^{2}
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extreme x^3+y^3-3xy
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extreme\:x^{3}+y^{3}-3xy
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extreme f(x)=x^2+10x+24
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extreme\:f(x)=x^{2}+10x+24
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extreme x^4-2x^3
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extreme\:x^{4}-2x^{3}
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extreme f(x,y)=2x^3-6x+6xy^2
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extreme\:f(x,y)=2x^{3}-6x+6xy^{2}
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critical points f(x)=xe^{-(x^2)/(128)}
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critical\:points\:f(x)=xe^{-\frac{x^{2}}{128}}
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extreme f(x,y)= 3/2 x^2+x^3+3y^2
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extreme\:f(x,y)=\frac{3}{2}x^{2}+x^{3}+3y^{2}
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extreme (x^2-3x+5)e^{-x/3}
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extreme\:(x^{2}-3x+5)e^{-\frac{x}{3}}
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f(x,y)=xy-2x-2y-x^2-y^2
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f(x,y)=xy-2x-2y-x^{2}-y^{2}
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extreme f(x)=\sqrt[3]{x}
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extreme\:f(x)=\sqrt[3]{x}
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extreme f(x)=2x^3+3x^2-12x-7
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extreme\:f(x)=2x^{3}+3x^{2}-12x-7
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extreme f(x)=y^3+3x^2y-6x^2-6y^2+2
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extreme\:f(x)=y^{3}+3x^{2}y-6x^{2}-6y^{2}+2
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extreme f(x)=(e^x)/(1-e^x)
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extreme\:f(x)=\frac{e^{x}}{1-e^{x}}
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f(x,y)=x^3-12xy+8y^3
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f(x,y)=x^{3}-12xy+8y^{3}
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extreme f(x)=x^3-3x^2+7
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extreme\:f(x)=x^{3}-3x^{2}+7
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f(x,y)=ln(x^2+y^2+1)
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f(x,y)=\ln(x^{2}+y^{2}+1)
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rango f(x)= x/(x^2-x+1)
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rango\:f(x)=\frac{x}{x^{2}-x+1}
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f(x,y)=3x^2-4y^2
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f(x,y)=3x^{2}-4y^{2}
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extreme (x^3)/(x^2-1)
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extreme\:\frac{x^{3}}{x^{2}-1}
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extreme f(x,y)=x^3-12xy+8y^3
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extreme\:f(x,y)=x^{3}-12xy+8y^{3}
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f(x,y)=x^2+xy+y^2+y
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f(x,y)=x^{2}+xy+y^{2}+y
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extreme f(x)=xe^{(x/2)}
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extreme\:f(x)=xe^{(\frac{x}{2})}
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extreme f(x)=x^5ln(x)
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extreme\:f(x)=x^{5}\ln(x)
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extreme f(x)=x^4-6x^2
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extreme\:f(x)=x^{4}-6x^{2}
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extreme f(x)=x^2-6x+10
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extreme\:f(x)=x^{2}-6x+10
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extreme f(x)=x^3-3x^2-9x+2
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extreme\:f(x)=x^{3}-3x^{2}-9x+2
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extreme f(x)=x-ln(x)
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extreme\:f(x)=x-\ln(x)
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extreme points f(x)=sin(x)+cos(x)
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extreme\:points\:f(x)=\sin(x)+\cos(x)
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asíntotas (x^2-x-20)/(x^2-4)
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asíntotas\:\frac{x^{2}-x-20}{x^{2}-4}
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extreme f(x)=x^3+3x^2-4
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extreme\:f(x)=x^{3}+3x^{2}-4
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f(x,y)=-x^3+4xy-2y^2+1
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f(x,y)=-x^{3}+4xy-2y^{2}+1
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extreme f(x)=((x+1)^2)/x
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extreme\:f(x)=\frac{(x+1)^{2}}{x}
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extreme f(x)=xsqrt(25-x^2)
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extreme\:f(x)=x\sqrt{25-x^{2}}
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extreme f(x)=x^4-8x^3
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extreme\:f(x)=x^{4}-8x^{3}
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extreme f(x)=x^4-4x
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extreme\:f(x)=x^{4}-4x
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R(B,h)=a(B-h)
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R(B,h)=a(B-h)
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f(x,y)=2x+y
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f(x,y)=2x+y
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extreme f(x)=2x^3+xy^2+5x^2+y^2
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extreme\:f(x)=2x^{3}+xy^{2}+5x^{2}+y^{2}
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f(x,y)=3x^2-2x^3+y^2-8y+4
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f(x,y)=3x^{2}-2x^{3}+y^{2}-8y+4
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perpendicular y=1x+3,\at (-7,0)
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perpendicular\:y=1x+3,\at\:(-7,0)
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extreme f(x)=x+9/x
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extreme\:f(x)=x+\frac{9}{x}
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f(x,y)=e^{-(x^2+y^2)}
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f(x,y)=e^{-(x^{2}+y^{2})}
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extreme f(x)=x^4-5x^2+4
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extreme\:f(x)=x^{4}-5x^{2}+4
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extreme f(x)=x^4+2x^3-3x^2-4x+4
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extreme\:f(x)=x^{4}+2x^{3}-3x^{2}-4x+4
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extreme f(x)=-x^2
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extreme\:f(x)=-x^{2}
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extreme f(x)=x^2-4
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extreme\:f(x)=x^{2}-4
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extreme f(x)=x^2-4x-1
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extreme\:f(x)=x^{2}-4x-1
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