extreme y=-5(x-4)^4+2
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extreme\:y=-5(x-4)^{4}+2
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extreme x^2+4xy+y^2-40x-56y+1
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extreme\:x^{2}+4xy+y^{2}-40x-56y+1
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extreme xe^{3-(x/4)}
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extreme\:xe^{3-(\frac{x}{4})}
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extreme xy(1-x-y)
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extreme\:xy(1-x-y)
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extreme f(x)=x^4-32x^2+256
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extreme\:f(x)=x^{4}-32x^{2}+256
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f(x,y)=(x^3+5xy^2)/y
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f(x,y)=\frac{x^{3}+5xy^{2}}{y}
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extreme f(x)=6x^5-15x^4+10x^3
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extreme\:f(x)=6x^{5}-15x^{4}+10x^{3}
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extreme f(x)=5
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extreme\:f(x)=5
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extreme f(x)=8
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extreme\:f(x)=8
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extreme f(x)=6x^4-8x^3-24x^2+1
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extreme\:f(x)=6x^{4}-8x^{3}-24x^{2}+1
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extreme points f(x)=12x-2ln(x),x> 0
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extreme\:points\:f(x)=12x-2\ln(x),x\gt\:0
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f(x,y)=y+xe^y
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f(x,y)=y+xe^{y}
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extreme f(x,y)=x^2-3xy-y^2
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extreme\:f(x,y)=x^{2}-3xy-y^{2}
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extreme 2x^3-3xy+3y^3
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extreme\:2x^{3}-3xy+3y^{3}
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extreme f(x)=9x-x^3
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extreme\:f(x)=9x-x^{3}
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extreme f(x)=x^2+2+(243)/x
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extreme\:f(x)=x^{2}+2+\frac{243}{x}
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extreme f(x)=2x^3-7x^2-4x
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extreme\:f(x)=2x^{3}-7x^{2}-4x
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extreme f(x)=x^6+6x^5
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extreme\:f(x)=x^{6}+6x^{5}
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u(x,y)=kx+yx
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u(x,y)=kx+yx
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extreme 9x^2-4
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extreme\:9x^{2}-4
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extreme xsqrt(4-x^2),-1<= x<= 2
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extreme\:x\sqrt{4-x^{2}},-1\le\:x\le\:2
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asíntotas (x^2-9)^6
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asíntotas\:(x^{2}-9)^{6}
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G(M,r)=-M+1/8 ra
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G(M,r)=-M+\frac{1}{8}ra
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extreme f(x)=((x+4))/(x^2)
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extreme\:f(x)=\frac{(x+4)}{x^{2}}
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extreme f(x)=2x^3-6x^2+9x-2
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extreme\:f(x)=2x^{3}-6x^{2}+9x-2
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extreme f(x,y)=8y^2-8x^2-8y+3xy
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extreme\:f(x,y)=8y^{2}-8x^{2}-8y+3xy
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extreme f(x)=2x^3-24x+2
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extreme\:f(x)=2x^{3}-24x+2
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extreme f(x)=3\sqrt[3]{x}-4x
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extreme\:f(x)=3\sqrt[3]{x}-4x
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extreme y=((ln(x))^2)/x
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extreme\:y=\frac{(\ln(x))^{2}}{x}
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f(x,y)=-x^3+2y^3+27x-24y+3
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f(x,y)=-x^{3}+2y^{3}+27x-24y+3
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extreme f(x)=(x^2)/(e^x)
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extreme\:f(x)=\frac{x^{2}}{e^{x}}
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F(I,J)=(-3I+2J)
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F(I,J)=(-3I+2J)
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inversa f(x)=((4x-1))/((2x+3))
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inversa\:f(x)=\frac{(4x-1)}{(2x+3)}
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inversa 3/4 x-6
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inversa\:\frac{3}{4}x-6
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asíntotas ((2x-1))/(x^2-x-2)
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asíntotas\:\frac{(2x-1)}{x^{2}-x-2}
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f(x)=x_{1}x
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f(x)=x_{1}x
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mínimo 0.5x^2-130x+17555
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mínimo\:0.5x^{2}-130x+17555
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f(x,y)=x-y-x^2y+xy^2
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f(x,y)=x-y-x^{2}y+xy^{2}
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extreme f(x)=x(x-4)^2
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extreme\:f(x)=x(x-4)^{2}
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extreme f(x)=x^4-6x^2+9,0<= x<= 2
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extreme\:f(x)=x^{4}-6x^{2}+9,0\le\:x\le\:2
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extreme (sqrt(4-x^2))/x
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extreme\:\frac{\sqrt{4-x^{2}}}{x}
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f(x)=e^{-kx}
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f(x)=e^{-kx}
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f(x,y)=((2x-x^2)(2y-y^2))/(xy)
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f(x,y)=\frac{(2x-x^{2})(2y-y^{2})}{xy}
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extreme f(x,y)=x^3-y^2-12x+6y
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extreme\:f(x,y)=x^{3}-y^{2}-12x+6y
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extreme f(x)=x^4-8x^3+4
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extreme\:f(x)=x^{4}-8x^{3}+4
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domínio f(x)=(2x)/(sqrt(x)-1)
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domínio\:f(x)=\frac{2x}{\sqrt{x}-1}
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extreme y=x^5-x^3
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extreme\:y=x^{5}-x^{3}
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extreme x^3+1
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extreme\:x^{3}+1
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extreme x2^{-x}
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extreme\:x2^{-x}
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extreme f(x)=8x^3+2xy-3x^2+y^2+1
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extreme\:f(x)=8x^{3}+2xy-3x^{2}+y^{2}+1
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extreme f(x)=((x+1))/(x^2)
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extreme\:f(x)=\frac{(x+1)}{x^{2}}
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f(x,y)=2x^2+16y^2-4xy^2
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f(x,y)=2x^{2}+16y^{2}-4xy^{2}
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f(x,y)=(x+2y)^y
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f(x,y)=(x+2y)^{y}
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extreme f(x)=x^4-16x^3
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extreme\:f(x)=x^{4}-16x^{3}
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extreme f(x)=(2^2)/(2^4+16)
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extreme\:f(x)=\frac{2^{2}}{2^{4}+16}
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f(x,y)=2x^2-xy-3y^2-3x+7y
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f(x,y)=2x^{2}-xy-3y^{2}-3x+7y
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periodicidad f(x)=X[n]=5sin(2n)
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periodicidad\:f(x)=X[n]=5\sin(2n)
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f(x,y)=x^3+6xy+y^3
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f(x,y)=x^{3}+6xy+y^{3}
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extreme f(x,y)=xy-5x+15
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extreme\:f(x,y)=xy-5x+15
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f(x,y)=ln(4x^2+9y^2+36)
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f(x,y)=\ln(4x^{2}+9y^{2}+36)
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extreme f(x)= x/(x^2+5x+4)
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extreme\:f(x)=\frac{x}{x^{2}+5x+4}
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extreme 2ln(1+x^2)
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extreme\:2\ln(1+x^{2})
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extreme (x-1)e^{x+1}
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extreme\:(x-1)e^{x+1}
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extreme f(x)=sin(x)+cos(x),0<x<2pi
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extreme\:f(x)=\sin(x)+\cos(x),0<x<2π
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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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extreme f(x)=x^3+3x^2+3x-3
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extreme\:f(x)=x^{3}+3x^{2}+3x-3
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extreme-(W(\frac{1000)/(3569e^{-0.012x-1)})-1}{0.012}
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extreme\:-\frac{W(\frac{1000}{3569e^{-0.012x-1}})-1}{0.012}
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inversa f(x)= x/(x-3)
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inversa\:f(x)=\frac{x}{x-3}
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extreme f(x)=sin(x),-pi/2 <= x<= (5pi)/6
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extreme\:f(x)=\sin(x),-\frac{π}{2}\le\:x\le\:\frac{5π}{6}
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extreme f(x)=x+2y
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extreme\:f(x)=x+2y
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extreme y=-x^2+4x
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extreme\:y=-x^{2}+4x
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extreme f(x)=2x^2+8x-5
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extreme\:f(x)=2x^{2}+8x-5
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extreme f(x)=-(3x)/(x^2+8)
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extreme\:f(x)=-\frac{3x}{x^{2}+8}
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f(x,y)=50y^2+x^2-x^2y
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f(x,y)=50y^{2}+x^{2}-x^{2}y
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extreme f(x)=sqrt(x)log_{e}(x)
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extreme\:f(x)=\sqrt{x}\log_{e}(x)
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f(x)=2x+5y
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f(x)=2x+5y
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extreme f(x)=x-\sqrt[3]{x},-1<= x<= 5
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extreme\:f(x)=x-\sqrt[3]{x},-1\le\:x\le\:5
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f(x)=2x+7y
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f(x)=2x+7y
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punto medio (5,-3)(7,3)
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punto\:medio\:(5,-3)(7,3)
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extreme f(x)=-4x^2-2y^2-8x+12y+5
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extreme\:f(x)=-4x^{2}-2y^{2}-8x+12y+5
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mínimo g(x)=(x^3)/((x+1))
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mínimo\:g(x)=\frac{x^{3}}{(x+1)}
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extreme f(x)=x^{5/4}-80x^{1/4}
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extreme\:f(x)=x^{\frac{5}{4}}-80x^{\frac{1}{4}}
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extreme f(x)=5+6x-x^2,0<= x<= 4
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extreme\:f(x)=5+6x-x^{2},0\le\:x\le\:4
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extreme f(x)=x^3+3x^2+y^2-2y+3
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extreme\:f(x)=x^{3}+3x^{2}+y^{2}-2y+3
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extreme f(x)=-x^3+8x^2-15x
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extreme\:f(x)=-x^{3}+8x^{2}-15x
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mínimo y=2x^3-15x^2+24x-5
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mínimo\:y=2x^{3}-15x^{2}+24x-5
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extreme f(x)=-7x^2+42x+5
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extreme\:f(x)=-7x^{2}+42x+5
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extreme f(x)=(x^5}{20}-\frac{x^4)/4-(2x^3)/3
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extreme\:f(x)=\frac{x^{5}}{20}-\frac{x^{4}}{4}-\frac{2x^{3}}{3}
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extreme ln(1+x^2)
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extreme\:\ln(1+x^{2})
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inversa y=(3x-4)^2
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inversa\:y=(3x-4)^{2}
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extreme f(x)=2x^2+2xy+y^2+2x-3
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extreme\:f(x)=2x^{2}+2xy+y^{2}+2x-3
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mínimo xsqrt(4-x^2)
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mínimo\:x\sqrt{4-x^{2}}
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extreme f(x,y)=2xy+240y-25y^2-1/10 x^2y-100
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extreme\:f(x,y)=2xy+240y-25y^{2}-\frac{1}{10}x^{2}y-100
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f(x,y)=42x^4+42y^4-4xy+19
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f(x,y)=42x^{4}+42y^{4}-4xy+19
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extreme y=x^2-5x-2
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extreme\:y=x^{2}-5x-2
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extreme f(x)=x^3-(3x^2)/2
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extreme\:f(x)=x^{3}-\frac{3x^{2}}{2}
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extreme f(x)=2x-4cos(x)
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extreme\:f(x)=2x-4\cos(x)
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extreme f(x)=16xy-x^3-8y^2
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extreme\:f(x)=16xy-x^{3}-8y^{2}
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extreme f(x)=x^4-4x^3+8
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extreme\:f(x)=x^{4}-4x^{3}+8
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extreme f(x)=x+9/x+3
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extreme\:f(x)=x+\frac{9}{x}+3
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