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inversa f(x)=sqrt(8x+2)
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inversa\:f(x)=\sqrt{8x+2}
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extreme f(x)=2x^2+3x-5
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extreme\:f(x)=2x^{2}+3x-5
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extreme f(x)=x^3-12x-10
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extreme\:f(x)=x^{3}-12x-10
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mínimo g(x)=x^2-6x-12
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mínimo\:g(x)=x^{2}-6x-12
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f(x)=-6x+5y
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f(x)=-6x+5y
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extreme sin(3x)
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extreme\:\sin(3x)
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extreme f(x)=-1/2 x^4+2x^3+40x^2-13
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extreme\:f(x)=-\frac{1}{2}x^{4}+2x^{3}+40x^{2}-13
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extreme f(x)=3x-2x^2-4/3 x^3
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extreme\:f(x)=3x-2x^{2}-\frac{4}{3}x^{3}
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extreme f(x)=(x^3-5x^2+11x-11)e^x
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extreme\:f(x)=(x^{3}-5x^{2}+11x-11)e^{x}
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extreme f(x)=x^2+y^2+2/(xy)
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extreme\:f(x)=x^{2}+y^{2}+\frac{2}{xy}
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f(x,y)=-14+5*x^2+x*y+y^2
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f(x,y)=-14+5\cdot\:x^{2}+x\cdot\:y+y^{2}
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inversa-x^3+3
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inversa\:-x^{3}+3
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extreme f(x)=5x+3/x
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extreme\:f(x)=5x+\frac{3}{x}
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f(xy)=xye^{-x^2-y^2}
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f(xy)=xye^{-x^{2}-y^{2}}
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extreme f(x,y)=x^2+y^2-3xy
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extreme\:f(x,y)=x^{2}+y^{2}-3xy
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f(x,y)=x^4+y^4-4xy+4
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f(x,y)=x^{4}+y^{4}-4xy+4
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extreme 2x^2+4x+1
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extreme\:2x^{2}+4x+1
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P(r,y)=(r+2sqrt(1+m^2))y
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P(r,y)=(r+2\sqrt{1+m^{2}})y
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extreme f(x)=-x^2+6x-4
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extreme\:f(x)=-x^{2}+6x-4
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extreme f(x)=x^3-12x+11
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extreme\:f(x)=x^{3}-12x+11
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extreme f(x)=(4-2)(4-6)^3+8
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extreme\:f(x)=(4-2)(4-6)^{3}+8
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extreme y=(x^2-4)/(x^2+4)
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extreme\:y=\frac{x^{2}-4}{x^{2}+4}
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monotone intervals 9x^{(2)}-x^3-3
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monotone\:intervals\:9x^{(2)}-x^{3}-3
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domínio (4x^2+1)/(x^2+x+16)
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domínio\:\frac{4x^{2}+1}{x^{2}+x+16}
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periodicidad f(x)=sin(3x)+sin(2(pi)x)
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periodicidad\:f(x)=\sin(3x)+\sin(2(\pi)x)
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extreme f(x)=(2x^2)/(x^2-9)
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extreme\:f(x)=\frac{2x^{2}}{x^{2}-9}
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extreme f(x)=x^2-12x+6
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extreme\:f(x)=x^{2}-12x+6
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extreme f(x)=x^2-12x+7
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extreme\:f(x)=x^{2}-12x+7
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extreme f(x)= 1/(2sqrt(2pi))e^{-((t-2)^2)/8}
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extreme\:f(x)=\frac{1}{2\sqrt{2π}}e^{-\frac{(t-2)^{2}}{8}}
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extreme f(x)=-x^3+3x^2+5
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extreme\:f(x)=-x^{3}+3x^{2}+5
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extreme x^5-5x^3-20x-2
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extreme\:x^{5}-5x^{3}-20x-2
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extreme f(x)=(1+xy)(x+y)
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extreme\:f(x)=(1+xy)(x+y)
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f(x,y)=x+4y
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f(x,y)=x+4y
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extreme (6x^2)/(x^2-16)
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extreme\:\frac{6x^{2}}{x^{2}-16}
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extreme ((x-3)/(x+2))^2
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extreme\:(\frac{x-3}{x+2})^{2}
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inversa f(x)=8-9x
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inversa\:f(x)=8-9x
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extreme f(x)= 1/2 x^4-4x^2+2
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extreme\:f(x)=\frac{1}{2}x^{4}-4x^{2}+2
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g(x,y)=xy+(y+x)(10-x-y)
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g(x,y)=xy+(y+x)(10-x-y)
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f(x,y)=x^2-y^2+6x-8y+25
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f(x,y)=x^{2}-y^{2}+6x-8y+25
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extreme f(x,y)=x+4y
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extreme\:f(x,y)=x+4y
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extreme f(x)=6+(7+5x)^{2/5}
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extreme\:f(x)=6+(7+5x)^{\frac{2}{5}}
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extreme y=xe^{-x}
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extreme\:y=xe^{-x}
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f(x,y)=-3+x^2+y^2
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f(x,y)=-3+x^{2}+y^{2}
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extreme y=4x^2-2x^4
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extreme\:y=4x^{2}-2x^{4}
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f(x)=(x^2-1)e^{-ax}
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f(x)=(x^{2}-1)e^{-ax}
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f(x)=x^4+y^4-4x^2y+2y
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f(x)=x^{4}+y^{4}-4x^{2}y+2y
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perpendicular y= 7/5 x+6(2,-6)
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perpendicular\:y=\frac{7}{5}x+6(2,-6)
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extreme (x^2-24)/(x-5)
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extreme\:\frac{x^{2}-24}{x-5}
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extreme f(x)=2x^3-3x^2+1
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extreme\:f(x)=2x^{3}-3x^{2}+1
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f(x,y)=20x+64y+8xy-x^2-32y^2
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f(x,y)=20x+64y+8xy-x^{2}-32y^{2}
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extreme y= x/(1+x^2)
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extreme\:y=\frac{x}{1+x^{2}}
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extreme (x^2-1)/(x^2-4)
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extreme\:\frac{x^{2}-1}{x^{2}-4}
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extreme f(x)=5x^2ln(x)
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extreme\:f(x)=5x^{2}\ln(x)
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extreme f(x,y)=2x^2+8xy+y^4
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extreme\:f(x,y)=2x^{2}+8xy+y^{4}
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extreme f(x)=2x^3+9x^2+1
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extreme\:f(x)=2x^{3}+9x^{2}+1
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F(m,a)=m*a
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F(m,a)=m\cdot\:a
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extreme f(x)=sqrt(x-x^2)
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extreme\:f(x)=\sqrt{x-x^{2}}
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inversa f(x)=(8(7/8)-7)^2=23
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inversa\:f(x)=(8(\frac{7}{8})-7)^{2}=23
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extreme f(x,y)=-2x^3-2y^3+6xy+10
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extreme\:f(x,y)=-2x^{3}-2y^{3}+6xy+10
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extreme ln(x)+ln(2-x)
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extreme\:\ln(x)+\ln(2-x)
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extreme cos^2(x)-2sin(x)
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extreme\:\cos^{2}(x)-2\sin(x)
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extreme f(x)=x^{2/3}*(6-x)^{1/3}
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extreme\:f(x)=x^{\frac{2}{3}}\cdot\:(6-x)^{\frac{1}{3}}
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f(x)=x^2+2y^2-9x-12y
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f(x)=x^{2}+2y^{2}-9x-12y
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extreme f(x)=sin(x/2)
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extreme\:f(x)=\sin(\frac{x}{2})
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extreme y=8x-ln(8x)
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extreme\:y=8x-\ln(8x)
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extreme f(x,y)=x^3+y^3-3x-3y+20
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extreme\:f(x,y)=x^{3}+y^{3}-3x-3y+20
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f(x,y)=x^3+y^2-4xy+17x-10y+8
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f(x,y)=x^{3}+y^{2}-4xy+17x-10y+8
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extreme f(x)=2x^3+45x^2+84x+29
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extreme\:f(x)=2x^{3}+45x^{2}+84x+29
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inflection points f(x)=x^3-3x^2+3x+1
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inflection\:points\:f(x)=x^{3}-3x^{2}+3x+1
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extreme x^3-12x^2+36x
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extreme\:x^{3}-12x^{2}+36x
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f(x,y)=e^{x^2-y^2}
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f(x,y)=e^{x^{2}-y^{2}}
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extreme x^3-12x+2
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extreme\:x^{3}-12x+2
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f(x,y)= 1/3 y^3+x^2-2xy-15y+12
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f(x,y)=\frac{1}{3}y^{3}+x^{2}-2xy-15y+12
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extreme f(x)=\sqrt[3]{x},-1<= x<= 8
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extreme\:f(x)=\sqrt[3]{x},-1\le\:x\le\:8
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F(x,y)=y^3+3x^2y-6x^2-6y^2+2
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F(x,y)=y^{3}+3x^{2}y-6x^{2}-6y^{2}+2
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f(x,y)=-x^2-4y^2+6x+32y-76
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f(x,y)=-x^{2}-4y^{2}+6x+32y-76
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extreme f(x,y)=3xy^2-x^3-15x+36y+9
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extreme\:f(x,y)=3xy^{2}-x^{3}-15x+36y+9
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extreme xsqrt(ax-x^2)
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extreme\:x\sqrt{ax-x^{2}}
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f(x,y)=(ln(x))/(sqrt(y-|x|))
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f(x,y)=\frac{\ln(x)}{\sqrt{y-\left|x\right|}}
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critical points f(x)=xln(3x)
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critical\:points\:f(x)=xln(3x)
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extreme f(x)=4x^{2/3}-5x^{1/3}
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extreme\:f(x)=4x^{\frac{2}{3}}-5x^{\frac{1}{3}}
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extreme f(x)=2x^3-3ax^2+a^3
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extreme\:f(x)=2x^{3}-3ax^{2}+a^{3}
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extreme f(x)=x^5e^{-x}
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extreme\:f(x)=x^{5}e^{-x}
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f(x,y)=2x^2+3xy+4y^2-2x+10y
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f(x,y)=2x^{2}+3xy+4y^{2}-2x+10y
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f(x)=sqrt(1-y+x)
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f(x)=\sqrt{1-y+x}
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f(x,y)=x^3-2xy+y^2+4
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f(x,y)=x^{3}-2xy+y^{2}+4
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extreme f(x)=(x-2)(x-3)^2(x-4)^3
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extreme\:f(x)=(x-2)(x-3)^{2}(x-4)^{3}
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extreme x^3-6x^2+10
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extreme\:x^{3}-6x^{2}+10
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extreme f(x)=x(x-3)^2(x+1)
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extreme\:f(x)=x(x-3)^{2}(x+1)
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extreme x^3-3x+4
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extreme\:x^{3}-3x+4
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domínio (x^3-16x)/(-3x^2+3x+18)
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domínio\:\frac{x^{3}-16x}{-3x^{2}+3x+18}
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extreme x^3-3x+5
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extreme\:x^{3}-3x+5
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extreme x^3-3x+9
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extreme\:x^{3}-3x+9
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extreme (9-x)(9-y)(x+y-9)
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extreme\:(9-x)(9-y)(x+y-9)
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extreme f(x)=-4x^2-32x-62
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extreme\:f(x)=-4x^{2}-32x-62
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f(x,y)=2x^3+6xy^2-3y^3-150x
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f(x,y)=2x^{3}+6xy^{2}-3y^{3}-150x
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extreme f(x)=-2x^3-6x^2+48x+4
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extreme\:f(x)=-2x^{3}-6x^{2}+48x+4
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extreme f(x)=sin(2x)-cos(2x)
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extreme\:f(x)=\sin(2x)-\cos(2x)
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extreme (x-2)^2+1
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extreme\:(x-2)^{2}+1
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extreme f(x,y)=16xy-x^3-8y^2
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extreme\:f(x,y)=16xy-x^{3}-8y^{2}
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