K(r,s)=9r-s
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K(r,s)=9r-s
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inversa f(x)=7x-8
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inversa\:f(x)=7x-8
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mínimo e^x+x^2
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mínimo\:e^{x}+x^{2}
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extreme f(x)=x^3-6x^2-15x+40
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extreme\:f(x)=x^{3}-6x^{2}-15x+40
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extreme f(x)=7x-5xln(x)
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extreme\:f(x)=7x-5x\ln(x)
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f(x,y)=ln(2-x^2-y^2)
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f(x,y)=\ln(2-x^{2}-y^{2})
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f(x,y)=x^2+y^2+xy^2-10
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f(x,y)=x^{2}+y^{2}+xy^{2}-10
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extreme f(x)=x^4-2x^3,-2<= x<= 2
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extreme\:f(x)=x^{4}-2x^{3},-2\le\:x\le\:2
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extreme f(x)=(7x)/(x^2-49)
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extreme\:f(x)=\frac{7x}{x^{2}-49}
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f(x,y)=9x^3+(y^3)/3-4xy
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f(x,y)=9x^{3}+\frac{y^{3}}{3}-4xy
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f(x,y)=2xy^4-5x^2y^3-3x^3y
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f(x,y)=2xy^{4}-5x^{2}y^{3}-3x^{3}y
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extreme f(x)=|x^2-1|,-4<= x<= 4
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extreme\:f(x)=\left|x^{2}-1\right|,-4\le\:x\le\:4
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inversa f(x)= 3/(1+2e^{-\frac{x){100}}}
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inversa\:f(x)=\frac{3}{1+2e^{-\frac{x}{100}}}
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f(x,y)=6x2y-2
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f(x,y)=6x2y-2
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extreme f(x)=x^4+3x^2
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extreme\:f(x)=x^{4}+3x^{2}
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extreme f(x)=(x^2-3x)/(x^2+1)
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extreme\:f(x)=\frac{x^{2}-3x}{x^{2}+1}
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f(x,y)=sqrt(-ln(1/(x+y)))
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f(x,y)=\sqrt{-\ln(\frac{1}{x+y})}
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extreme 4x^5-5x^4
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extreme\:4x^{5}-5x^{4}
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extreme f(x)=(x^2-3x+5)e^{(-x)/3}
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extreme\:f(x)=(x^{2}-3x+5)e^{\frac{-x}{3}}
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extreme f(x)=3x^2-6x-9
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extreme\:f(x)=3x^{2}-6x-9
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extreme f(x)=4x^2+8x+4y^2+4
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extreme\:f(x)=4x^{2}+8x+4y^{2}+4
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extreme f(x)=3x^2+2x-1
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extreme\:f(x)=3x^{2}+2x-1
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extreme f(x)=x^2+8x+17
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extreme\:f(x)=x^{2}+8x+17
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rango (x^4)/(x^2+x-6)
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rango\:\frac{x^{4}}{x^{2}+x-6}
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pendiente intercept 20x-24y=-144
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pendiente\:intercept\:20x-24y=-144
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extreme f(x)=-2+\sqrt[5]{x^2-6x}
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extreme\:f(x)=-2+\sqrt[5]{x^{2}-6x}
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extreme f(x)=2x-1
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extreme\:f(x)=2x-1
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extreme f(x)=x^3+2x^2+x-7
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extreme\:f(x)=x^{3}+2x^{2}+x-7
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extreme x^3-48x+7
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extreme\:x^{3}-48x+7
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extreme f(x)=2x+1
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extreme\:f(x)=2x+1
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f(x,y)=2x+3y+5
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f(x,y)=2x+3y+5
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extreme f(x)= 1/4 x^4-3/2 x^2
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extreme\:f(x)=\frac{1}{4}x^{4}-\frac{3}{2}x^{2}
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extreme f(x)=x^4+4x^3+5
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extreme\:f(x)=x^{4}+4x^{3}+5
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f(x,y)=5x+2y
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f(x,y)=5x+2y
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extreme f(x)=5x^7-7x^5-7
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extreme\:f(x)=5x^{7}-7x^{5}-7
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punto medio (3,-3)(9,3)
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punto\:medio\:(3,-3)(9,3)
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extreme (x^2+4)/(x^2-25)
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extreme\:\frac{x^{2}+4}{x^{2}-25}
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extreme f(x)=-3x^3+6x^2
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extreme\:f(x)=-3x^{3}+6x^{2}
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extreme f(x)=x-3x^{1/3}
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extreme\:f(x)=x-3x^{\frac{1}{3}}
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extreme f(x)= x/(sqrt(x^2+1))
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extreme\:f(x)=\frac{x}{\sqrt{x^{2}+1}}
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extreme f(x)=4x^3-9x^2+3x+1
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extreme\:f(x)=4x^{3}-9x^{2}+3x+1
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extreme x^3+2xy+y^2-5x
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extreme\:x^{3}+2xy+y^{2}-5x
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extreme f(x)=x^4-18x^2+81
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extreme\:f(x)=x^{4}-18x^{2}+81
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extreme (-4)/(x^2-9)
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extreme\:\frac{-4}{x^{2}-9}
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extreme f(x)=e^{x^2-2x-1}
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extreme\:f(x)=e^{x^{2}-2x-1}
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extreme f(x)=137
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extreme\:f(x)=137
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inversa f(x)= 1/4 x-1
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inversa\:f(x)=\frac{1}{4}x-1
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extreme f(x)=|x|-3|x+1|
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extreme\:f(x)=\left|x\right|-3\left|x+1\right|
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extreme f(x)=2cos(x)+cos^2(x)
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extreme\:f(x)=2\cos(x)+\cos^{2}(x)
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extreme f(x)=-x^3-4.5x^2-6x+2
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extreme\:f(x)=-x^{3}-4.5x^{2}-6x+2
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extreme f(x,y)=x^4+y^4+4xy
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extreme\:f(x,y)=x^{4}+y^{4}+4xy
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extreme f(x)=xe^{1-x/2}
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extreme\:f(x)=xe^{1-\frac{x}{2}}
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extreme 5x+1+2/(x-2)
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extreme\:5x+1+\frac{2}{x-2}
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extreme f(x)=x^3-3x+8
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extreme\:f(x)=x^{3}-3x+8
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extreme x/2+cos(x)
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extreme\:\frac{x}{2}+\cos(x)
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extreme y=(x^2-3)e^x
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extreme\:y=(x^{2}-3)e^{x}
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extreme f(x)=x^3-3x-5
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extreme\:f(x)=x^{3}-3x-5
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paridad y=cos^{-1}(2)
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paridad\:y=\cos^{-1}(2)
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extreme f(x)=3x^2+6x+1
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extreme\:f(x)=3x^{2}+6x+1
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extreme f(x)=4-3x
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extreme\:f(x)=4-3x
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f(x,y)=xy^2-27xy-27y^2
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f(x,y)=xy^{2}-27xy-27y^{2}
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extreme f(x)=(4x-2)/(x^2-4x+4)
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extreme\:f(x)=\frac{4x-2}{x^{2}-4x+4}
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extreme f(x)=ln(x^2+7x+14)
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extreme\:f(x)=\ln(x^{2}+7x+14)
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f(x,y)=y^3+x^2-6xy+3x+6y-7
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f(x,y)=y^{3}+x^{2}-6xy+3x+6y-7
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f(x,y)=x^2+xy+y^2-3x-6y
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f(x,y)=x^{2}+xy+y^{2}-3x-6y
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extreme f(x)=x^3-5x^2+7x
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extreme\:f(x)=x^{3}-5x^{2}+7x
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f(x,y)=x^2+xy-3x
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f(x,y)=x^{2}+xy-3x
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extreme f(x)=(x^2-1)/(x^2+1),-5<= x<= 5
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extreme\:f(x)=\frac{x^{2}-1}{x^{2}+1},-5\le\:x\le\:5
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domínio sqrt(x)-8
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domínio\:\sqrt{x}-8
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extreme f(x,y)= 1/2 x^4-3xy+3y^4
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extreme\:f(x,y)=\frac{1}{2}x^{4}-3xy+3y^{4}
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extreme f(x)=((x^2-3x))/((x^2+1))
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extreme\:f(x)=\frac{(x^{2}-3x)}{(x^{2}+1)}
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extreme f(x)=x^4-2x^3-x^2-4x+3
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extreme\:f(x)=x^{4}-2x^{3}-x^{2}-4x+3
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extreme f(x)= 2/3 x^3-x^2-12x+3
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extreme\:f(x)=\frac{2}{3}x^{3}-x^{2}-12x+3
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extreme y=x^4+4x^3-2
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extreme\:y=x^{4}+4x^{3}-2
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extreme f(x)=cos((2pi)/3 x)
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extreme\:f(x)=\cos(\frac{2π}{3}x)
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P(x,y)=8x+10y-1(x^2+xy+y^2)-10000
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P(x,y)=8x+10y-1(x^{2}+xy+y^{2})-10000
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f(x,y)=3x^4+8x^3-18x^2+6y^2+12y-4
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f(x,y)=3x^{4}+8x^{3}-18x^{2}+6y^{2}+12y-4
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extreme f(x)=-x^3+3x^2+45x-7
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extreme\:f(x)=-x^{3}+3x^{2}+45x-7
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extreme f(x)=(3x^2)/(x+5)
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extreme\:f(x)=\frac{3x^{2}}{x+5}
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asíntotas y=(250)/(30x)
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asíntotas\:y=\frac{250}{30x}
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extreme f(x)=4x^2+y^2-12x-6y-2xy+3
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extreme\:f(x)=4x^{2}+y^{2}-12x-6y-2xy+3
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f(x)=2y-2-x
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f(x)=2y-2-x
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extreme f(x)=9-8x-x^3
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extreme\:f(x)=9-8x-x^{3}
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f(x,y)=3x-2x^2y+xy^2
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f(x,y)=3x-2x^{2}y+xy^{2}
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f(x,y)=(x^2-2xy+y)/(3x-2y-6)
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f(x,y)=\frac{x^{2}-2xy+y}{3x-2y-6}
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extreme f(x)=x^2e^{-1/(x^2)}
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extreme\:f(x)=x^{2}e^{-\frac{1}{x^{2}}}
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extreme f(x)=e^{x^2-8x-1}[-8.8]
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extreme\:f(x)=e^{x^{2}-8x-1}[-8.8]
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extreme f(t)=50e^{3t}+600e^{-3t},0<= t<= 1
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extreme\:f(t)=50e^{3t}+600e^{-3t},0\le\:t\le\:1
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extreme f(x)=x^4+6x^3+12x^2+8x+10
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extreme\:f(x)=x^{4}+6x^{3}+12x^{2}+8x+10
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f(x,y)=x^2y+xy^3
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f(x,y)=x^{2}y+xy^{3}
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domínio ln(x-1)
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domínio\:\ln(x-1)
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extreme f(x)= x/(x^3-1)
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extreme\:f(x)=\frac{x}{x^{3}-1}
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extreme 3x^4-x^6
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extreme\:3x^{4}-x^{6}
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f(x,y)=6x+3y-x^3-y^3
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f(x,y)=6x+3y-x^{3}-y^{3}
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extreme f(x)=((x^2+x+4))/((3+x^2))
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extreme\:f(x)=\frac{(x^{2}+x+4)}{(3+x^{2})}
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extreme (1-x^2)^2
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extreme\:(1-x^{2})^{2}
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extreme f(x)=3+9x-3x^2-x^3
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extreme\:f(x)=3+9x-3x^{2}-x^{3}
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extreme f(x)=(1-x)/(x+2)
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extreme\:f(x)=\frac{1-x}{x+2}
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extreme f(x)=-10/3 x^3-19x^2-24x+50
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extreme\:f(x)=-\frac{10}{3}x^{3}-19x^{2}-24x+50
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mínimo y=4cos(x/2)+2
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mínimo\:y=4\cos(\frac{x}{2})+2
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