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f(x,y)=6x^2-xy+4y^2
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f(x,y)=6x^{2}-xy+4y^{2}
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extreme-x^4+4x^3+8x^2
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extreme\:-x^{4}+4x^{3}+8x^{2}
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f(x,y)=3x^2-xy+5y^2
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f(x,y)=3x^{2}-xy+5y^{2}
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extreme f(x)=x^{7/5}-12x^{1/5}
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extreme\:f(x)=x^{\frac{7}{5}}-12x^{\frac{1}{5}}
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extreme f(x)=3x^4-18x^2
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extreme\:f(x)=3x^{4}-18x^{2}
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extreme f(x)=x^2-12
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extreme\:f(x)=x^{2}-12
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extreme f(x)=4x^{3/5}-x^{4/5}
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extreme\:f(x)=4x^{\frac{3}{5}}-x^{\frac{4}{5}}
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rango e^x-3
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rango\:e^{x}-3
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extreme f(x)=(x+3)/(x^2-x-12)
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extreme\:f(x)=\frac{x+3}{x^{2}-x-12}
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extreme f(x)=-5sin(x)cos(x)
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extreme\:f(x)=-5\sin(x)\cos(x)
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extreme x^4+8x^3
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extreme\:x^{4}+8x^{3}
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extreme f(x)=x^2-9x
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extreme\:f(x)=x^{2}-9x
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extreme f(x)=((e^x)/(7+e^x))
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extreme\:f(x)=(\frac{e^{x}}{7+e^{x}})
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extreme f(x)=6x^2-12
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extreme\:f(x)=6x^{2}-12
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extreme (4x-ln(3x))/x
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extreme\:\frac{4x-\ln(3x)}{x}
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extreme f(x)=2x^2-6x+4
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extreme\:f(x)=2x^{2}-6x+4
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extreme f(x)=2x^3+3x^2,1<= x<= 2
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extreme\:f(x)=2x^{3}+3x^{2},1\le\:x\le\:2
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extreme (x^2-8)/(x-3)
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extreme\:\frac{x^{2}-8}{x-3}
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domínio sqrt(4-2x)
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domínio\:\sqrt{4-2x}
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extreme f(x)=y=x^3-8x^2-12x+8
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extreme\:f(x)=y=x^{3}-8x^{2}-12x+8
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extreme f(x)=2x^3-x^2-4x+4
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extreme\:f(x)=2x^{3}-x^{2}-4x+4
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extreme f(x,y)=(2x-x^2)(2y-y^2)
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extreme\:f(x,y)=(2x-x^{2})(2y-y^{2})
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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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extreme e^{7x}+e^{-x}
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extreme\:e^{7x}+e^{-x}
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extreme f(x,y)=2+2x+4y-x^2-y^2
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extreme\:f(x,y)=2+2x+4y-x^{2}-y^{2}
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extreme f(x)=xsqrt(81-x^2)
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extreme\:f(x)=x\sqrt{81-x^{2}}
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S(a,d)=a+(n-1)d
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S(a,d)=a+(n-1)d
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f(x,y)=x^2+2xy-(y^3)/x
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f(x,y)=x^{2}+2xy-\frac{y^{3}}{x}
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extreme y=sqrt(3)x+2cos(x),0<= x<= 2pi
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extreme\:y=\sqrt{3}x+2\cos(x),0\le\:x\le\:2π
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inversa f(x)=1+sqrt(2+5x)
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inversa\:f(x)=1+\sqrt{2+5x}
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domínio f(x)= 1/(sqrt(2x^2-7x+3))
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domínio\:f(x)=\frac{1}{\sqrt{2x^{2}-7x+3}}
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extreme f(x)=2x-(108)/x
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extreme\:f(x)=2x-\frac{108}{x}
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extreme f(x,y)=x^3-y^2-4y+x^2y
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extreme\:f(x,y)=x^{3}-y^{2}-4y+x^{2}y
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extreme f(x)= x/(sqrt(x-4))
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extreme\:f(x)=\frac{x}{\sqrt{x-4}}
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extreme f(x,y)=-3(20x-400)^2-6/7 (2y-44)^2+8
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extreme\:f(x,y)=-3(20x-400)^{2}-\frac{6}{7}(2y-44)^{2}+8
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extreme f(x)=x^2+xy+y^2-19y+120
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extreme\:f(x)=x^{2}+xy+y^{2}-19y+120
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extreme f(x)=x^2+x-12
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extreme\:f(x)=x^{2}+x-12
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extreme f(x)=(2x^2)/(x^4+1)
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extreme\:f(x)=\frac{2x^{2}}{x^{4}+1}
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extreme f(x)=(x+4)/(x^2-x-20)
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extreme\:f(x)=\frac{x+4}{x^{2}-x-20}
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extreme f(x)=-3x^2ln(4x)
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extreme\:f(x)=-3x^{2}\ln(4x)
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extreme f(x)=3x^2-6x+8
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extreme\:f(x)=3x^{2}-6x+8
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critical points f(x)=4x^6-6x^4
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critical\:points\:f(x)=4x^{6}-6x^{4}
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extreme f(x)= 1/x-2/(x^2),-2<= x<= 1
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extreme\:f(x)=\frac{1}{x}-\frac{2}{x^{2}},-2\le\:x\le\:1
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extreme f(x)=(x^2-2x+2)e^{1-x}
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extreme\:f(x)=(x^{2}-2x+2)e^{1-x}
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extreme y=(x^3)/(-x^2+4)
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extreme\:y=\frac{x^{3}}{-x^{2}+4}
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extreme 4x^3+96x^2
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extreme\:4x^{3}+96x^{2}
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extreme f(x)=x^2+8x+15
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extreme\:f(x)=x^{2}+8x+15
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extreme y=-3x+sin(6x),-(5pi)/(18)<= x<= (5pi)/(18)
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extreme\:y=-3x+\sin(6x),-\frac{5π}{18}\le\:x\le\:\frac{5π}{18}
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extreme (x-2)(x^2-4x-8)
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extreme\:(x-2)(x^{2}-4x-8)
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extreme f(x)=x^3+2x^2+x-6
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extreme\:f(x)=x^{3}+2x^{2}+x-6
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extreme f(x)=(x-1)^2(x+2)^2
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extreme\:f(x)=(x-1)^{2}(x+2)^{2}
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f(x,y)=x^5+3x^3y^2+3xy^4
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f(x,y)=x^{5}+3x^{3}y^{2}+3xy^{4}
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recta (0,6),(2,1)
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recta\:(0,6),(2,1)
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extreme f(x)=(2x^{5/2})/5-(4x^{3/2})/3+(x^2)/2-4
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extreme\:f(x)=\frac{2x^{\frac{5}{2}}}{5}-\frac{4x^{\frac{3}{2}}}{3}+\frac{x^{2}}{2}-4
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extreme f(x)=3x^4-216x^2-5
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extreme\:f(x)=3x^{4}-216x^{2}-5
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extreme f(x)=cos(5x)+sqrt(3)sin(5x),0<= x<= (2pi)/5
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extreme\:f(x)=\cos(5x)+\sqrt{3}\sin(5x),0\le\:x\le\:\frac{2π}{5}
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extreme f(x)=x(16-39+2x)(39/2-x)
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extreme\:f(x)=x(16-39+2x)(\frac{39}{2}-x)
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extreme 6x-7x^{6/7}
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extreme\:6x-7x^{\frac{6}{7}}
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extreme f(x)=-x^{2/3}(x-5),-5<= x<= 5
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extreme\:f(x)=-x^{\frac{2}{3}}(x-5),-5\le\:x\le\:5
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extreme f(x,y)=(x^3)/3-(y^3)/3+2xy
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extreme\:f(x,y)=\frac{x^{3}}{3}-\frac{y^{3}}{3}+2xy
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extreme f(x)=(x^3)/3+(x^2)/2-2x
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extreme\:f(x)=\frac{x^{3}}{3}+\frac{x^{2}}{2}-2x
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extreme f(x)=8x+8cot(x/2), pi/4 <= x<= (7pi)/4
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extreme\:f(x)=8x+8\cot(\frac{x}{2}),\frac{π}{4}\le\:x\le\:\frac{7π}{4}
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extreme 14x^2-2x^3+2y^2+4xy
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extreme\:14x^{2}-2x^{3}+2y^{2}+4xy
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inflection points f(x)=(x^2-5)/(x-3)
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inflection\:points\:f(x)=\frac{x^{2}-5}{x-3}
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extreme f(x)=-x^3+12x-8
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extreme\:f(x)=-x^{3}+12x-8
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extreme f(x)=x^2-11,-2<= x<= 3
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extreme\:f(x)=x^{2}-11,-2\le\:x\le\:3
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f(xy)=x^3+y^2-6xy+9x+5y+2
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f(xy)=x^{3}+y^{2}-6xy+9x+5y+2
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f(x,y)=e^{-x-y^2}*(3x-y^2)
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f(x,y)=e^{-x-y^{2}}\cdot\:(3x-y^{2})
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mínimo x^2+y^2+2x-4y+8
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mínimo\:x^{2}+y^{2}+2x-4y+8
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extreme f(x)=((3x-6))/((x+2))
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extreme\:f(x)=\frac{(3x-6)}{(x+2)}
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extreme f(x,y)=3x^3-y^3-9x+12y+3
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extreme\:f(x,y)=3x^{3}-y^{3}-9x+12y+3
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extreme f(x)= x/5+(sqrt(4+(6-x)^2))/3
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extreme\:f(x)=\frac{x}{5}+\frac{\sqrt{4+(6-x)^{2}}}{3}
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extreme f(x)=-x^3+3x^2+9x-1
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extreme\:f(x)=-x^{3}+3x^{2}+9x-1
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extreme f(x)=(2x^{5/2})/5-(4x^{3/2})/3-(x^2)/2+5
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extreme\:f(x)=\frac{2x^{\frac{5}{2}}}{5}-\frac{4x^{\frac{3}{2}}}{3}-\frac{x^{2}}{2}+5
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inversa (-2x+5)/3
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inversa\:\frac{-2x+5}{3}
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f(t)=120-120h(t-2)
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f(t)=120-120h(t-2)
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extreme f(x)=x^6(1-x)^{18}
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extreme\:f(x)=x^{6}(1-x)^{18}
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extreme f(x)=x^3-x^2-x+4,-1<= x<= 2
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extreme\:f(x)=x^{3}-x^{2}-x+4,-1\le\:x\le\:2
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extreme 2x^2
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extreme\:2x^{2}
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extreme f(x,y)=-(x^2-y^2)e^{-x^2-y^2}
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extreme\:f(x,y)=-(x^{2}-y^{2})e^{-x^{2}-y^{2}}
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extreme f(x)=x^2log_{2}(x)
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extreme\:f(x)=x^{2}\log_{2}(x)
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extreme f(x)=x(21-46+2x)(46/2-x)
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extreme\:f(x)=x(21-46+2x)(\frac{46}{2}-x)
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extreme f(x)=-(2e^{-3x})/(2-3x)
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extreme\:f(x)=-\frac{2e^{-3x}}{2-3x}
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extreme f(x)=x^2-4x,-infinity <x<= 4
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extreme\:f(x)=x^{2}-4x,-\infty\:<x\le\:4
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extreme f(x)=(x-2)(x+2)(x+4)
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extreme\:f(x)=(x-2)(x+2)(x+4)
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rango (x+4)/(x-4)
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rango\:\frac{x+4}{x-4}
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extreme f(x)=(x+1)/(x^2-6x-7)
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extreme\:f(x)=\frac{x+1}{x^{2}-6x-7}
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extreme f(x)=11+5x+x^2
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extreme\:f(x)=11+5x+x^{2}
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extreme f(x)=x^2log_{3}(x)
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extreme\:f(x)=x^{2}\log_{3}(x)
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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-4/(x-7)
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extreme\:-\frac{4}{x-7}
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f(x,y)=-4x^2-2y^2-8x+12y+5
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f(x,y)=-4x^{2}-2y^{2}-8x+12y+5
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extreme f(x)=-5x^3+15x+3
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extreme\:f(x)=-5x^{3}+15x+3
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f(x,y)= 4/(sqrt(x+y))
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f(x,y)=\frac{4}{\sqrt{x+y}}
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extreme f(x)=-x^2+9,-3<= x<= 4
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extreme\:f(x)=-x^{2}+9,-3\le\:x\le\:4
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f(x)=x^4+y^4-4xy+2
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f(x)=x^{4}+y^{4}-4xy+2
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domínio sqrt(t)+\sqrt[3]{t}
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domínio\:\sqrt{t}+\sqrt[3]{t}
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extreme (7x-3)^2
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extreme\:(7x-3)^{2}
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extreme f(x)=20xy-x^3-10y^2
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extreme\:f(x)=20xy-x^{3}-10y^{2}
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extreme f(x)=(12x-3-3x^2)/x
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extreme\:f(x)=\frac{12x-3-3x^{2}}{x}
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