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extreme points f(x)=e^x-x
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extreme\:points\:f(x)=e^{x}-x
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extreme f(x)=2x^2-15x^2+36x+10
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extreme\:f(x)=2x^{2}-15x^{2}+36x+10
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extreme (x^3)/(x^2-3)
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extreme\:\frac{x^{3}}{x^{2}-3}
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extreme f(x)=-7x^8+3x^2-4
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extreme\:f(x)=-7x^{8}+3x^{2}-4
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extreme f(x)=5x-3x^2
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extreme\:f(x)=5x-3x^{2}
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extreme y= x/(x^2+4),(-3,1)
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extreme\:y=\frac{x}{x^{2}+4},(-3,1)
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extreme f(x,y)=12x^2+48xy+8y^3-3y^4
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extreme\:f(x,y)=12x^{2}+48xy+8y^{3}-3y^{4}
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extreme log_{10}(x^2-1)
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extreme\:\log_{10}(x^{2}-1)
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extreme f(x)=3^2+5x-4
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extreme\:f(x)=3^{2}+5x-4
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extreme f(x)=x^3-9x^2+24x-18
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extreme\:f(x)=x^{3}-9x^{2}+24x-18
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extreme f(x)=4x-3x^2+1
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extreme\:f(x)=4x-3x^{2}+1
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pendiente x=1
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pendiente\:x=1
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g(x,y)=(x^2-1)(e^y-1)+(y^2-2y+2)e^y
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g(x,y)=(x^{2}-1)(e^{y}-1)+(y^{2}-2y+2)e^{y}
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mínimo y=(x+7)(x+3)
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mínimo\:y=(x+7)(x+3)
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extreme f(x)=-3x^2+2x-4,1<= x<= 4
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extreme\:f(x)=-3x^{2}+2x-4,1\le\:x\le\:4
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extreme R(M)=M^2(1/2-M/3)
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extreme\:R(M)=M^{2}(\frac{1}{2}-\frac{M}{3})
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extreme f(x)=8x^4-5x^3+x^2-2x+3
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extreme\:f(x)=8x^{4}-5x^{3}+x^{2}-2x+3
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f(x,y)=sqrt(400-81x^2-81y^2)
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f(x,y)=\sqrt{400-81x^{2}-81y^{2}}
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extreme f(x)= 1/2 (x-2)^{-1/2}
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extreme\:f(x)=\frac{1}{2}(x-2)^{-\frac{1}{2}}
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extreme x^4+2x^2
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extreme\:x^{4}+2x^{2}
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extreme f(x)= x/(x^2+25),-7<= x<= 7
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extreme\:f(x)=\frac{x}{x^{2}+25},-7\le\:x\le\:7
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extreme f(x)=4x^2+(3000)/x
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extreme\:f(x)=4x^{2}+\frac{3000}{x}
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punto medio (9,15)(-1,-7)
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punto\:medio\:(9,15)(-1,-7)
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extreme f(x)=-3x^2-y^2+2xy-3x-y
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extreme\:f(x)=-3x^{2}-y^{2}+2xy-3x-y
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f(x,y)=x^3+8y^3-12xy
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f(x,y)=x^{3}+8y^{3}-12xy
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extreme f(x)=4xe^{-4x+1}
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extreme\:f(x)=4xe^{-4x+1}
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extreme f(x)=((x^2-9x+50))/(x-7)
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extreme\:f(x)=\frac{(x^{2}-9x+50)}{x-7}
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extreme f(x)=x^4-32x+9
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extreme\:f(x)=x^{4}-32x+9
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extreme f(x)=-6x^2-12x-9,-3<= x<= 2
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extreme\:f(x)=-6x^{2}-12x-9,-3\le\:x\le\:2
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extreme f(x)=(1/2 x)+3
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extreme\:f(x)=(\frac{1}{2}x)+3
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extreme f(x)=((x^2-2x+3))/(x-2)
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extreme\:f(x)=\frac{(x^{2}-2x+3)}{x-2}
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extreme f(x)=(x^2+2)e^{-2x}
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extreme\:f(x)=(x^{2}+2)e^{-2x}
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extreme f(x)=-25x^2-30y^2+500x+300y+150
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extreme\:f(x)=-25x^{2}-30y^{2}+500x+300y+150
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rango f(x)=(5x+4)/7
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rango\:f(x)=\frac{5x+4}{7}
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extreme f(x,y)=-y^3+yx^2-2y^2x^2+2x^4
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extreme\:f(x,y)=-y^{3}+yx^{2}-2y^{2}x^{2}+2x^{4}
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extreme f(x)=e^{7x^2+y^2+1}
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extreme\:f(x)=e^{7x^{2}+y^{2}+1}
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P(X,y)=36X^2-9y^2
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P(X,y)=36X^{2}-9y^{2}
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5/(-5ex^2-sqrt(5)y^2+5)
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\frac{5}{-5ex^{2}-\sqrt{5}y^{2}+5}
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extreme f(x)=x^3-y^3+6xy
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extreme\:f(x)=x^{3}-y^{3}+6xy
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extreme f(x)=6+x^2+4x+y^2
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extreme\:f(x)=6+x^{2}+4x+y^{2}
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f(x,y)=x^2+y^2+4x-2y+4
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f(x,y)=x^{2}+y^{2}+4x-2y+4
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f(x,y)=xy+(50)/x+(20)/y
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f(x,y)=xy+\frac{50}{x}+\frac{20}{y}
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f(x,y)=sqrt(49-9x^2-y^2)
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f(x,y)=\sqrt{49-9x^{2}-y^{2}}
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extreme y=X^2(X-3)
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extreme\:y=X^{2}(X-3)
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inflection points f(x)=x^4+3x^3
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inflection\:points\:f(x)=x^{4}+3x^{3}
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extreme f(x)=(3x-2)^5
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extreme\:f(x)=(3x-2)^{5}
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extreme f(x)=x^3-3x+y^2-4y
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extreme\:f(x)=x^{3}-3x+y^{2}-4y
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extreme f(x)=(x^2+13)^{1/3}
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extreme\:f(x)=(x^{2}+13)^{\frac{1}{3}}
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extreme f(x)= x/(x-2),4<= x<= 6
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extreme\:f(x)=\frac{x}{x-2},4\le\:x\le\:6
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extreme x/(x^2-16)
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extreme\:\frac{x}{x^{2}-16}
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extreme f(x)=4sin(2x)
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extreme\:f(x)=4\sin(2x)
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extreme f(x)=((2x^2+x-3))/((3x-9))
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extreme\:f(x)=\frac{(2x^{2}+x-3)}{(3x-9)}
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extreme f(x,y)=x^2-y^2-20x+2y+8
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extreme\:f(x,y)=x^{2}-y^{2}-20x+2y+8
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extreme f(x,y)=(xy)/(x^2+1)
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extreme\:f(x,y)=\frac{xy}{x^{2}+1}
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extreme x^4+2x^3+1
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extreme\:x^{4}+2x^{3}+1
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domínio =2x^2-20x-6
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domínio\:=2x^{2}-20x-6
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f(x,y)=x^2+3y^2-2xy+10x-2y+4
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f(x,y)=x^{2}+3y^{2}-2xy+10x-2y+4
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extreme (-x*e^{-x})
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extreme\:(-x\cdot\:e^{-x})
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extreme (7x)/(x^2-49)
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extreme\:\frac{7x}{x^{2}-49}
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extreme f(x,y)=5x_{6y}
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extreme\:f(x,y)=5x_{6y}
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extreme 10+x^3-(9x^2)/2
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extreme\:10+x^{3}-\frac{9x^{2}}{2}
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extreme 1/(x^2-5x-24)
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extreme\:\frac{1}{x^{2}-5x-24}
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extreme f(x)=x^3+4x^2+x-6
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extreme\:f(x)=x^{3}+4x^{2}+x-6
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extreme f(x)=(x-3)^2(x+2)
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extreme\:f(x)=(x-3)^{2}(x+2)
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extreme f(x)=(6(x-7)^2)/(x+9)
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extreme\:f(x)=\frac{6(x-7)^{2}}{x+9}
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extreme f(x)=-y-y^3
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extreme\:f(x)=-y-y^{3}
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punto medio (3.5,2.2)(1.5,-4.8)
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punto\:medio\:(3.5,2.2)(1.5,-4.8)
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f(y)=x^3y^2-2x^2y+3x
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f(y)=x^{3}y^{2}-2x^{2}y+3x
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extreme f(x)=((x^9))/(e^{2x)}
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extreme\:f(x)=\frac{(x^{9})}{e^{2x}}
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f(x,y)=x^2-y^2+21
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f(x,y)=x^{2}-y^{2}+21
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extreme-(5e^{4x})/(x-4)
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extreme\:-\frac{5e^{4x}}{x-4}
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f(x,y)=x-ky
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f(x,y)=x-ky
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extreme f(x)=(x+3)/(x^2-2x-15)
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extreme\:f(x)=\frac{x+3}{x^{2}-2x-15}
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extreme f(x)=x^2(e^{-x^2})
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extreme\:f(x)=x^{2}(e^{-x^{2}})
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Z(p,q)=p^2+q^2
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Z(p,q)=p^{2}+q^{2}
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extreme f(x)=x^3+4x^2+10
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extreme\:f(x)=x^{3}+4x^{2}+10
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extreme f(x)=x^3+6x^2-x-6
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extreme\:f(x)=x^{3}+6x^{2}-x-6
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asíntotas f(x)=-2
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asíntotas\:f(x)=-2
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mínimo (810+100x+0.1x^2)/x
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mínimo\:\frac{810+100x+0.1x^{2}}{x}
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extreme y=(x^2-3)/(x-2)
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extreme\:y=\frac{x^{2}-3}{x-2}
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extreme 6+2x-2x^2
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extreme\:6+2x-2x^{2}
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extreme f(x)=-3-x+x^2
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extreme\:f(x)=-3-x+x^{2}
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extreme f(x)=(3x^2-x^3)^{1/3}
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extreme\:f(x)=(3x^{2}-x^{3})^{\frac{1}{3}}
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extreme x^2-2x-15
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extreme\:x^{2}-2x-15
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extreme f(x)=xln(x/3)
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extreme\:f(x)=x\ln(\frac{x}{3})
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extreme x^2-2x-18
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extreme\:x^{2}-2x-18
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F(x,y)=200x+150y
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F(x,y)=200x+150y
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extreme f(x)=|x+1|
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extreme\:f(x)=\left|x+1\right|
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pendiente y-1= 1/5 (x+1)
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pendiente\:y-1=\frac{1}{5}(x+1)
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domínio sqrt(3x-4)
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domínio\:\sqrt{3x-4}
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extreme 1/(sqrt(2pi))e^{-(x^2)/2}
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extreme\:\frac{1}{\sqrt{2π}}e^{-\frac{x^{2}}{2}}
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extreme-x^4+x^3+2x^2+11,0<= x<= 2
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extreme\:-x^{4}+x^{3}+2x^{2}+11,0\le\:x\le\:2
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extreme f(x)= 1/3 x^3-x^2+4
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extreme\:f(x)=\frac{1}{3}x^{3}-x^{2}+4
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f(x,y)=e^{15xy}
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f(x,y)=e^{15xy}
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extreme f(x,y)=(-1x^2)/6-(1y^2)/8-1/2 xy+130x+145y-1500
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extreme\:f(x,y)=\frac{-1x^{2}}{6}-\frac{1y^{2}}{8}-\frac{1}{2}xy+130x+145y-1500
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extreme f(x)=9x^2+3[-1.2]
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extreme\:f(x)=9x^{2}+3[-1.2]
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extreme f(x)=-2x^3-13
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extreme\:f(x)=-2x^{3}-13
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extreme f(x)=-4csc(x),-(3pi)/4 <= x<=-pi/4
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extreme\:f(x)=-4\csc(x),-\frac{3π}{4}\le\:x\le\:-\frac{π}{4}
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extreme f(x)=9-4x-3x^2,-2<= x<= 1
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extreme\:f(x)=9-4x-3x^{2},-2\le\:x\le\:1
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extreme f(x)=3x^2+12x-9
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extreme\:f(x)=3x^{2}+12x-9
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