f(x,y)=x+x^2y+y^2
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f(x,y)=x+x^{2}y+y^{2}
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extreme f(x)=x^3+3x^2+9,0<= x<= 10
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extreme\:f(x)=x^{3}+3x^{2}+9,0\le\:x\le\:10
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extreme f(x,y)=x^2+xy
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extreme\:f(x,y)=x^{2}+xy
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extreme 1.5x^2+45x+15000
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extreme\:1.5x^{2}+45x+15000
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extreme-x^3+300x+y^3-48y+9
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extreme\:-x^{3}+300x+y^{3}-48y+9
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f(x,y)=8x^2-4y^2
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f(x,y)=8x^{2}-4y^{2}
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extreme (5-9t)^{9/2}
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extreme\:(5-9t)^{\frac{9}{2}}
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asíntotas f(x)=(x^2+5)/(3x^2-14x-5)
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asíntotas\:f(x)=\frac{x^{2}+5}{3x^{2}-14x-5}
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extreme f(x)=5x^2ln(4x)
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extreme\:f(x)=5x^{2}\ln(4x)
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extreme f(x)=x+y+x^2y+xy^2
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extreme\:f(x)=x+y+x^{2}y+xy^{2}
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mínimo x^3-48xy+64y^3
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mínimo\:x^{3}-48xy+64y^{3}
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f(x,y)=2x^3+3x^3y^2-4x^2y^2-2y
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f(x,y)=2x^{3}+3x^{3}y^{2}-4x^{2}y^{2}-2y
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extreme f(x)=e^x-7e^{-x}-8x
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extreme\:f(x)=e^{x}-7e^{-x}-8x
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extreme e^{-x^2}-2e^{-x^2}x^2
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extreme\:e^{-x^{2}}-2e^{-x^{2}}x^{2}
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extreme f(x)=x^{11}-3x^9+2
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extreme\:f(x)=x^{11}-3x^{9}+2
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extreme f(x,y)=-2.8+x^2-6.4xy+1.4y^2
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extreme\:f(x,y)=-2.8+x^{2}-6.4xy+1.4y^{2}
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f(x,y)=4xy+x^4+y^4
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f(x,y)=4xy+x^{4}+y^{4}
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extreme f(x)=30x^3+39x^2-36x+12,0<= x<= 1
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extreme\:f(x)=30x^{3}+39x^{2}-36x+12,0\le\:x\le\:1
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intersección f(x)=(x-2)^2(x-7)
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intersección\:f(x)=(x-2)^{2}(x-7)
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extreme 4x^3-45x^2+150x
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extreme\:4x^{3}-45x^{2}+150x
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extreme-x^2+5
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extreme\:-x^{2}+5
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extreme (5x-6)/x
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extreme\:\frac{5x-6}{x}
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f(x,y)=sqrt((x^2-4)(y^2-9))
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f(x,y)=\sqrt{(x^{2}-4)(y^{2}-9)}
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extreme \sqrt[9]{x^8}+1
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extreme\:\sqrt[9]{x^{8}}+1
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extreme f(x)=y
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extreme\:f(x)=y
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extreme f(x)=e
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extreme\:f(x)=e
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extreme f(x,y)=3x^2-9y^2-24x-54y+2
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extreme\:f(x,y)=3x^{2}-9y^{2}-24x-54y+2
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extreme f(x)=-(e^{2x})/(-2x-5)
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extreme\:f(x)=-\frac{e^{2x}}{-2x-5}
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f(x)=4x^2-y^2
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f(x)=4x^{2}-y^{2}
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pendiente y=2x+4
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pendiente\:y=2x+4
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extreme f(x)=-2x^2+2x
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extreme\:f(x)=-2x^{2}+2x
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g(x,y)=\sqrt[3]{x^2+y^2-9}
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g(x,y)=\sqrt[3]{x^{2}+y^{2}-9}
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extreme f(x)=2500x-5x^2+10000
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extreme\:f(x)=2500x-5x^{2}+10000
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extreme f(x)=(10-2x)(10-2x)(x)
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extreme\:f(x)=(10-2x)(10-2x)(x)
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mínimo 2x^2-3x+5
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mínimo\:2x^{2}-3x+5
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extreme f(x)=(x-1)^2(x+3)^2
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extreme\:f(x)=(x-1)^{2}(x+3)^{2}
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extreme f(x)=y=x^2-7x-4
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extreme\:f(x)=y=x^{2}-7x-4
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extreme f(x)=(3x)/((9-x^2))
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extreme\:f(x)=\frac{3x}{(9-x^{2})}
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extreme f(x)=3sin(x)+7cos(x),0<= x<= 2pi
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extreme\:f(x)=3\sin(x)+7\cos(x),0\le\:x\le\:2π
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U(a,b)=aa+bb
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U(a,b)=aa+bb
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domínio f(x)=x-1+2/(x-2)
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domínio\:f(x)=x-1+\frac{2}{x-2}
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extreme f(x)= 1/3 x^3-7x^2+24x+6
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extreme\:f(x)=\frac{1}{3}x^{3}-7x^{2}+24x+6
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extreme f(x)=((4860)/x)+17x+752774
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extreme\:f(x)=(\frac{4860}{x})+17x+752774
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f(x)=xe^{-x^2-y^2}
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f(x)=xe^{-x^{2}-y^{2}}
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extreme 5cos(x),-(3pi)/2 <= x<= (3pi)/2
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extreme\:5\cos(x),-\frac{3π}{2}\le\:x\le\:\frac{3π}{2}
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extreme (7x(1+12x^2)^{-2}),-7<= x<= 12
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extreme\:(7x(1+12x^{2})^{-2}),-7\le\:x\le\:12
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extreme f(x)=(x-7)/(x^2-25),0<= x<5
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extreme\:f(x)=\frac{x-7}{x^{2}-25},0\le\:x<5
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extreme f(x)=xsqrt(600-x)
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extreme\:f(x)=x\sqrt{600-x}
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extreme f(x)=-3/(x^2)
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extreme\:f(x)=-\frac{3}{x^{2}}
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f(x,y)=x(y+1)+(x+y+1)
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f(x,y)=x(y+1)+(x+y+1)
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extreme f(x)=((x^2-5))/(x+3)
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extreme\:f(x)=\frac{(x^{2}-5)}{x+3}
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domínio g(x)=sqrt(5-x)
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domínio\:g(x)=\sqrt{5-x}
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extreme f(x)= 25/2 x^2-ln(x)
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extreme\:f(x)=\frac{25}{2}x^{2}-\ln(x)
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extreme f(x)=-2x^3+33x^2-144x+1
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extreme\:f(x)=-2x^{3}+33x^{2}-144x+1
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extreme y=-2x^2-3x+1
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extreme\:y=-2x^{2}-3x+1
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extreme f(x)=4x^3ln(4x)
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extreme\:f(x)=4x^{3}\ln(4x)
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extreme f(x)=6x+ln(x)
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extreme\:f(x)=6x+\ln(x)
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extreme f(x)=2x^3-24x-3
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extreme\:f(x)=2x^{3}-24x-3
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f(x,y)=x*y^2-6*x^2-3x+2*x*y+9
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f(x,y)=x\cdot\:y^{2}-6\cdot\:x^{2}-3x+2\cdot\:x\cdot\:y+9
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U(x,y)=ln(1+xy)
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U(x,y)=\ln(1+xy)
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extreme (x^2-1)/(x+2)
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extreme\:\frac{x^{2}-1}{x+2}
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extreme f(x)=(-5x)/(x^2+5)
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extreme\:f(x)=\frac{-5x}{x^{2}+5}
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monotone intervals f(x)=x^3-6x^2+12x-5
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monotone\:intervals\:f(x)=x^{3}-6x^{2}+12x-5
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f(x,y)=x^3+y^2-6xy+9x+5y+2
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f(x,y)=x^{3}+y^{2}-6xy+9x+5y+2
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f(x,y)=100*(y-x^2)^2+(x-1)^2
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f(x,y)=100\cdot\:(y-x^{2})^{2}+(x-1)^{2}
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extreme f(x)=x^4-8x^3+7
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extreme\:f(x)=x^{4}-8x^{3}+7
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extreme f(x)=x^4-8x^3+9
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extreme\:f(x)=x^{4}-8x^{3}+9
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extreme f(x)=sqrt(x^2+25)
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extreme\:f(x)=\sqrt{x^{2}+25}
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extreme y=x^x,x>0
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extreme\:y=x^{x},x>0
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extreme f(x)=x^3-4x^2-3x+7
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extreme\:f(x)=x^{3}-4x^{2}-3x+7
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extreme f(x)=x^2+y^2-2y-9
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extreme\:f(x)=x^{2}+y^{2}-2y-9
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extreme f(x)=-0.4x^2+90x-2000
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extreme\:f(x)=-0.4x^{2}+90x-2000
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extreme f(x)=x^3+3x^2+4,-3<= x<= 2
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extreme\:f(x)=x^{3}+3x^{2}+4,-3\le\:x\le\:2
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inversa f(x)=4x
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inversa\:f(x)=4x
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extreme f(x)=((x-5)^2)/(x+9)
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extreme\:f(x)=\frac{(x-5)^{2}}{x+9}
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extreme f(x)=x^5-2x^3+1
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extreme\:f(x)=x^{5}-2x^{3}+1
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extreme x^4-8x^3+6
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extreme\:x^{4}-8x^{3}+6
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extreme f(x)= x/(x^2+x+1)
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extreme\:f(x)=\frac{x}{x^{2}+x+1}
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extreme f(x)=-x+cos(3pix)
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extreme\:f(x)=-x+\cos(3πx)
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extreme f(x)=3x^3-36x^2+108x+8,0<= x<= 9
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extreme\:f(x)=3x^{3}-36x^{2}+108x+8,0\le\:x\le\:9
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f(x)=7+x-x^2-In(x+3)^3
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f(x)=7+x-x^{2}-In(x+3)^{3}
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extreme f(x)=4x^2-8x
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extreme\:f(x)=4x^{2}-8x
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f(x,y)=xy^2-x^2y-3xy
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f(x,y)=xy^{2}-x^{2}y-3xy
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extreme f(x)=x^4-6x^2,0<= x<= 3
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extreme\:f(x)=x^{4}-6x^{2},0\le\:x\le\:3
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asíntotas f(x)= 3/(x^2+4x)
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asíntotas\:f(x)=\frac{3}{x^{2}+4x}
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critical points x/(x^2-4)
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critical\:points\:\frac{x}{x^{2}-4}
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f(x,y)=(x+4y)e^{x-y^2}
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f(x,y)=(x+4y)e^{x-y^{2}}
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V(r,h)=31pir2h
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V(r,h)=31πr2h
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extreme f(x)=x^3-3x^2-45x+9
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extreme\:f(x)=x^{3}-3x^{2}-45x+9
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extreme f(x)=4x^2-2x
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extreme\:f(x)=4x^{2}-2x
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extreme f(x)=(x^2-1)e^x
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extreme\:f(x)=(x^{2}-1)e^{x}
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extreme f(x)= 1/(x-1)
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extreme\:f(x)=\frac{1}{x-1}
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f(x,y)= 1/3 x^3-3x^2+(y^2)/4+xy+13x-y+2
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f(x,y)=\frac{1}{3}x^{3}-3x^{2}+\frac{y^{2}}{4}+xy+13x-y+2
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mínimo x^2-4
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mínimo\:x^{2}-4
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extreme (x^2)/(sqrt(x+1))
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extreme\:\frac{x^{2}}{\sqrt{x+1}}
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extreme x^{1/3}(x+3)^{2/3}
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extreme\:x^{\frac{1}{3}}(x+3)^{\frac{2}{3}}
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rango f(x)=2x+1
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rango\:f(x)=2x+1
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mínimo x^2+3
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mínimo\:x^{2}+3
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extreme f(x)=6x^2-24x+18
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extreme\:f(x)=6x^{2}-24x+18
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extreme f(x)=x(17-45+2x)(45/2-x)
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extreme\:f(x)=x(17-45+2x)(\frac{45}{2}-x)
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