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asíntotas f(x)=(2x+6)/(x-4)
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asíntotas\:f(x)=\frac{2x+6}{x-4}
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extreme f(x)=(x^3)/(x^2-9)
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extreme\:f(x)=\frac{x^{3}}{x^{2}-9}
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extreme y=-x^3-3x+4
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extreme\:y=-x^{3}-3x+4
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12-b+c
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12-b+c
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extreme f(x)=x^3-6x^2+2
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extreme\:f(x)=x^{3}-6x^{2}+2
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mínimo 15
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mínimo\:15
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f(x,y)=12x-x^3-4y^2
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f(x,y)=12x-x^{3}-4y^{2}
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extreme y=x(20-2x)(0.5*45-x)
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extreme\:y=x(20-2x)(0.5\cdot\:45-x)
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extreme (x^2-4)/(x^2-1)
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extreme\:\frac{x^{2}-4}{x^{2}-1}
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f(x,y)=(x^3)/3-xy^2+(2y^5)/5
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f(x,y)=\frac{x^{3}}{3}-xy^{2}+\frac{2y^{5}}{5}
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mínimo z=20x+15y
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mínimo\:z=20x+15y
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asíntotas f(x)=((x+2))/((x+1))
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asíntotas\:f(x)=\frac{(x+2)}{(x+1)}
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extreme f(x)=-x^2+7x-17
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extreme\:f(x)=-x^{2}+7x-17
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y=In|sec(5x)+tan(5x)|
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y=In\left|\sec(5x)+\tan(5x)\right|
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extreme f(x)=x^4-5x^3
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extreme\:f(x)=x^{4}-5x^{3}
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extreme f(x)=1+5/x-4/(x^2)
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extreme\:f(x)=1+\frac{5}{x}-\frac{4}{x^{2}}
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extreme f(x)= 2/3 x-5
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extreme\:f(x)=\frac{2}{3}x-5
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f(x,y)=x^3-xy+3y^2
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f(x,y)=x^{3}-xy+3y^{2}
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extreme f(x)=4x^4+y^2-2xy+1
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extreme\:f(x)=4x^{4}+y^{2}-2xy+1
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extreme f(x)=x^3-3x^2-24x+5
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extreme\:f(x)=x^{3}-3x^{2}-24x+5
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f(x,y)=12xy-x^3-6y^2
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f(x,y)=12xy-x^{3}-6y^{2}
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extreme x^3-x^2
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extreme\:x^{3}-x^{2}
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asíntotas (x^2-2x)/(x^4-16)
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asíntotas\:\frac{x^{2}-2x}{x^{4}-16}
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extreme f(x,y)=xy+(27)/x+(27)/y
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extreme\:f(x,y)=xy+\frac{27}{x}+\frac{27}{y}
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extreme 2x^3+3x^2-12x+1
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extreme\:2x^{3}+3x^{2}-12x+1
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extreme f(x)=8x-x^4
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extreme\:f(x)=8x-x^{4}
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extreme f(x)=x^2-2x-4
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extreme\:f(x)=x^{2}-2x-4
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extreme f(x)=-x^2-6x+9
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extreme\:f(x)=-x^{2}-6x+9
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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)=(2x)/(1+x^2)
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extreme\:f(x)=\frac{2x}{1+x^{2}}
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f(x,y)=x^2+2y^2-x^2y
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f(x,y)=x^{2}+2y^{2}-x^{2}y
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extreme x+(32)/(x^2)
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extreme\:x+\frac{32}{x^{2}}
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f(x,y)=sqrt(1-x^2)-sqrt(4-y^2)
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f(x,y)=\sqrt{1-x^{2}}-\sqrt{4-y^{2}}
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domínio f(x)=(x+4)/(9x+4)
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domínio\:f(x)=\frac{x+4}{9x+4}
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extreme f(x)=x-2cos(x),0<= x<= 2pi
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extreme\:f(x)=x-2\cos(x),0\le\:x\le\:2π
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extreme f(x)=x^4-20x^3+28x^2-4
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extreme\:f(x)=x^{4}-20x^{3}+28x^{2}-4
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mínimo 1448.2x^2-81667x+1000000
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mínimo\:1448.2x^{2}-81667x+1000000
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f(x,y)=(x-8)^2+(y-5)^2+16
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f(x,y)=(x-8)^{2}+(y-5)^{2}+16
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extreme f(x)=xe^{3x^2}
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extreme\:f(x)=xe^{3x^{2}}
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f(x,y)=2x^2+y^4-16xy
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f(x,y)=2x^{2}+y^{4}-16xy
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extreme f(x,y)=(7x+9y+8)e^{(-(x^2+y^2))}
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extreme\:f(x,y)=(7x+9y+8)e^{(-(x^{2}+y^{2}))}
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extreme x^3-3x+3xy^2
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extreme\:x^{3}-3x+3xy^{2}
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extreme f(x)= x/((x+3)^2)
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extreme\:f(x)=\frac{x}{(x+3)^{2}}
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y=ue^x
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y=ue^{x}
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rango-x^2-4
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rango\:-x^{2}-4
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f(x,y)=x^3-y^2-3x+8y
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f(x,y)=x^{3}-y^{2}-3x+8y
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f(x,y)=2x^2+5y^2-xy
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f(x,y)=2x^{2}+5y^{2}-xy
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extreme f(x)=x^4-2x^2+4
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extreme\:f(x)=x^{4}-2x^{2}+4
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extreme y= 1/3 x^3+1/2 x^2-6x+8
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extreme\:y=\frac{1}{3}x^{3}+\frac{1}{2}x^{2}-6x+8
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extreme f(x)=(x+4)^3(3x-2)^2
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extreme\:f(x)=(x+4)^{3}(3x-2)^{2}
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extreme y=(x^2-9)^4
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extreme\:y=(x^{2}-9)^{4}
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extreme f(x)=(3x)/(x^2-4)
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extreme\:f(x)=\frac{3x}{x^{2}-4}
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extreme f(x,y)=e^y-ye^x
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extreme\:f(x,y)=e^{y}-ye^{x}
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extreme f(x)=3x^2+5x-4
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extreme\:f(x)=3x^{2}+5x-4
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extreme f(x)=-1/(x^2)
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extreme\:f(x)=-\frac{1}{x^{2}}
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punto medio (9,9),(18,8)
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punto\:medio\:(9,9),(18,8)
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extreme f(x,y)=x^2+xy-(7+1)y-(8+1)x+1
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extreme\:f(x,y)=x^{2}+xy-(7+1)y-(8+1)x+1
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extreme 4^{x+1}-3
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extreme\:4^{x+1}-3
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extreme f(x)=x^2+10+24
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extreme\:f(x)=x^{2}+10+24
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f(x,y)=ln|4x^2+18y^2-36|
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f(x,y)=\ln\left|4x^{2}+18y^{2}-36\right|
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mínimo sy
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mínimo\:sy
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extreme f(x)=8-2x+4y-x^2-4y^2
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extreme\:f(x)=8-2x+4y-x^{2}-4y^{2}
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f(x,y)=x^2+2xy+2y^2-6x+10y+2
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f(x,y)=x^{2}+2xy+2y^{2}-6x+10y+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)=sqrt(4-x^2),-1<= x<= 2
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extreme\:f(x)=\sqrt{4-x^{2}},-1\le\:x\le\:2
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extreme f(x)= 1/(x^2+2x+2)
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extreme\:f(x)=\frac{1}{x^{2}+2x+2}
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domínio y=(x-1)/2
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domínio\:y=\frac{x-1}{2}
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extreme f(x)= 1/(1+|x|)+1/(1+|x-2|)
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extreme\:f(x)=\frac{1}{1+\left|x\right|}+\frac{1}{1+\left|x-2\right|}
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extreme x^3+6x^2
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extreme\:x^{3}+6x^{2}
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extreme f(x)=(3x)/(x^2+9)
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extreme\:f(x)=\frac{3x}{x^{2}+9}
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extreme f(x,y)=10xy-x^3-5y^2
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extreme\:f(x,y)=10xy-x^{3}-5y^{2}
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extreme f(x)=ln(7-2x^2)
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extreme\:f(x)=\ln(7-2x^{2})
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extreme f(x)=(x^3)/3-(x^2)/2-6x+4
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extreme\:f(x)=\frac{x^{3}}{3}-\frac{x^{2}}{2}-6x+4
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extreme x/(x^2+13x+36)
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extreme\:\frac{x}{x^{2}+13x+36}
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extreme f(x)=2x^3-12x^2+6
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extreme\:f(x)=2x^{3}-12x^{2}+6
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extreme f(x)=2x^3-12x^2+4
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extreme\:f(x)=2x^{3}-12x^{2}+4
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extreme f(x)=x^3-6x^2+12x+4
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extreme\:f(x)=x^{3}-6x^{2}+12x+4
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inversa f(x)=3^x-9
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inversa\:f(x)=3^{x}-9
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extreme f(x)=x^{2/3}-1
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extreme\:f(x)=x^{\frac{2}{3}}-1
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extreme f(x)=48xy-32x^3-24y^2
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extreme\:f(x)=48xy-32x^{3}-24y^{2}
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extreme f(x)=x^3-6x^2+12x-3
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extreme\:f(x)=x^{3}-6x^{2}+12x-3
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extreme f(x)=x^3-x+1
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extreme\:f(x)=x^{3}-x+1
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f(x,y)=9x^2+2y^2-xy^2
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f(x,y)=9x^{2}+2y^{2}-xy^{2}
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extreme f(x)= 1/x ,1<x<3
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extreme\:f(x)=\frac{1}{x},1<x<3
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f(x,y)=x^2-y^2+6xy+4x-8y+2
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f(x,y)=x^{2}-y^{2}+6xy+4x-8y+2
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extreme (x+1)/(sqrt(x^2+1))
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extreme\:\frac{x+1}{\sqrt{x^{2}+1}}
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f(x,y)=xy^2+12x^3y-xy
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f(x,y)=xy^{2}+12x^{3}y-xy
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extreme f(x)=(2x-4)/(x-1)
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extreme\:f(x)=\frac{2x-4}{x-1}
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paralela y=x-3,\at (3,-2)
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paralela\:y=x-3,\at\:(3,-2)
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f(x,y)=ln(e^x+e^y)
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f(x,y)=\ln(e^{x}+e^{y})
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extreme y=x^2-4x-5
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extreme\:y=x^{2}-4x-5
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extreme x^3-6x^2+9x+9
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extreme\:x^{3}-6x^{2}+9x+9
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f(x,y)=16-x^2-y^2
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f(x,y)=16-x^{2}-y^{2}
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extreme f(x,y)=3y^3+5x^2y-24x^2-24y^2-2
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extreme\:f(x,y)=3y^{3}+5x^{2}y-24x^{2}-24y^{2}-2
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f(x,y)=2x^3+3y^2-4xy-4
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f(x,y)=2x^{3}+3y^{2}-4xy-4
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extreme f(x)=14+4x-x^2,0<= x<= 5
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extreme\:f(x)=14+4x-x^{2},0\le\:x\le\:5
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mínimo-1.8x^2+7x-11
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mínimo\:-1.8x^{2}+7x-11
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extreme f(x,y)=2ln(x)+ln(y)-4x-y
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extreme\:f(x,y)=2\ln(x)+\ln(y)-4x-y
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f(x,y)=3x+y
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f(x,y)=3x+y
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inflection points f(x)=(x^2+7)/(x^2-1)
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inflection\:points\:f(x)=\frac{x^{2}+7}{x^{2}-1}
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