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extreme f(x)=x^2+xy+y^2-7y+16
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extreme\:f(x)=x^{2}+xy+y^{2}-7y+16
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extreme f(x,y)=x^2+xy+y^2+7y
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extreme\:f(x,y)=x^{2}+xy+y^{2}+7y
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extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9)
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extreme\:f(x)=\frac{7(x-1)^{2}}{x+9},(-21,-9)
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extreme (7x-2)/3
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extreme\:\frac{7x-2}{3}
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extreme f(x)=x^3+y^3-21xy
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extreme\:f(x)=x^{3}+y^{3}-21xy
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f(x,y)=x^3+y^3-3x^2-6y^2-9x
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f(x,y)=x^{3}+y^{3}-3x^{2}-6y^{2}-9x
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extreme h(x)=x^3-12x
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extreme\:h(x)=x^{3}-12x
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extreme f(x)=x^2-11
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extreme\:f(x)=x^{2}-11
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extreme y=xe^{-x^2}
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extreme\:y=xe^{-x^{2}}
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rango f(x)=4x^2+5x-1
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rango\:f(x)=4x^{2}+5x-1
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f(x,y)=x^2y-2xy+2y^2x
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f(x,y)=x^{2}y-2xy+2y^{2}x
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extreme (2(x+2)^2)/(x^2)
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extreme\:\frac{2(x+2)^{2}}{x^{2}}
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extreme f(x)=12x^3-24x^2
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extreme\:f(x)=12x^{3}-24x^{2}
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extreme f(x)=x^2-3x+1
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extreme\:f(x)=x^{2}-3x+1
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extreme 2x^3-2x+6
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extreme\:2x^{3}-2x+6
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extreme f(x)=-3(5-3x)e^{-4x}
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extreme\:f(x)=-3(5-3x)e^{-4x}
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extreme (2x-5)/(x^2-4)
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extreme\:\frac{2x-5}{x^{2}-4}
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f(x,y)=x^2y+3xy^2
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f(x,y)=x^{2}y+3xy^{2}
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f(x)=x^4+y^4-4xy+1
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f(x)=x^{4}+y^{4}-4xy+1
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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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critical points f(x)=t^4-24t^3+154t^2
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critical\:points\:f(x)=t^{4}-24t^{3}+154t^{2}
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f(x,y)=1-x^2+2y^2
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f(x,y)=1-x^{2}+2y^{2}
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E(x,y)=6(x^2-2xy+y^2)-9(x^2-y^2)+3(x^2+2xy+y^2)
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E(x,y)=6(x^{2}-2xy+y^{2})-9(x^{2}-y^{2})+3(x^{2}+2xy+y^{2})
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extreme f(x)=2x+2sqrt(2)cos(x),0<= x<= 2pi
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extreme\:f(x)=2x+2\sqrt{2}\cos(x),0\le\:x\le\:2π
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f(x,y)=60x-2x^2-3y^2+30y
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f(x,y)=60x-2x^{2}-3y^{2}+30y
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extreme (x^2)/(x-4)
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extreme\:\frac{x^{2}}{x-4}
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f(x,y)=x^3-3xy+4y^2
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f(x,y)=x^{3}-3xy+4y^{2}
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f(x,y)=|x-y|
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f(x,y)=\left|x-y\right|
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extreme f(x,y)=x^3-y^3+3xy
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extreme\:f(x,y)=x^{3}-y^{3}+3xy
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extreme f(x)=sqrt(10x^2+36x+36)
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extreme\:f(x)=\sqrt{10x^{2}+36x+36}
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extreme f(x)=x^4-4x^3+12
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extreme\:f(x)=x^{4}-4x^{3}+12
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inversa 7/(x^2+1)
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inversa\:\frac{7}{x^{2}+1}
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extreme f(x)=sin(4x),0<= x<= pi/2
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extreme\:f(x)=\sin(4x),0\le\:x\le\:\frac{π}{2}
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extreme f(x)=4x^3+48x^2+180x
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extreme\:f(x)=4x^{3}+48x^{2}+180x
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extreme f(x)=(x^2-7x+26)/(x-5)
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extreme\:f(x)=\frac{x^{2}-7x+26}{x-5}
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extreme f(x)=x^3-x^2-8x+4
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extreme\:f(x)=x^{3}-x^{2}-8x+4
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extreme f(x)=x^3-x^2-8x+8
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extreme\:f(x)=x^{3}-x^{2}-8x+8
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f(x,y)=18x^2-32y^2-36x-128y-110
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f(x,y)=18x^{2}-32y^{2}-36x-128y-110
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extreme f(x,y)=x^3+y^3-24xy
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extreme\:f(x,y)=x^{3}+y^{3}-24xy
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extreme f(x)= 8/x+2pix^2
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extreme\:f(x)=\frac{8}{x}+2πx^{2}
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f(x,y)=sqrt(400-9x^2-36y^2)
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f(x,y)=\sqrt{400-9x^{2}-36y^{2}}
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extreme f(x,y)= 1/3 x^3-x
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extreme\:f(x,y)=\frac{1}{3}x^{3}-x
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asíntotas f(x)=((2x^2+32x+126))/((3x^2+22x+7))
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asíntotas\:f(x)=\frac{(2x^{2}+32x+126)}{(3x^{2}+22x+7)}
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extreme f(x,y)=4-x^4+2x^2-y^2
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extreme\:f(x,y)=4-x^{4}+2x^{2}-y^{2}
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extreme f(x)=(x^2-1)^3,-1<= x<= 6
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extreme\:f(x)=(x^{2}-1)^{3},-1\le\:x\le\:6
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extreme f(x)=(x^2-1)^3,-1<= x<= 4
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extreme\:f(x)=(x^{2}-1)^{3},-1\le\:x\le\:4
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f(x,y)=x^2+2xy
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f(x,y)=x^{2}+2xy
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extreme f(x)=4sin(x)+2
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extreme\:f(x)=4\sin(x)+2
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extreme f(x)=9xln(x)
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extreme\:f(x)=9x\ln(x)
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extreme f(x)=8x+9x^{8/9}
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extreme\:f(x)=8x+9x^{\frac{8}{9}}
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f(x,y)=3x^2-2xy+y^2-8y
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f(x,y)=3x^{2}-2xy+y^{2}-8y
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extreme f(x)=-5x+3ln(4x)
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extreme\:f(x)=-5x+3\ln(4x)
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f(x,y)=xy+4x
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f(x,y)=xy+4x
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intersección f(x)=(4x+9)/(3x-6)
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intersección\:f(x)=\frac{4x+9}{3x-6}
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g(t)=3[u(t-6)-u(t-7)]
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g(t)=3[u(t-6)-u(t-7)]
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extreme f(x)=(3x)/(x^2+1)
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extreme\:f(x)=\frac{3x}{x^{2}+1}
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extreme f(x)=(x^3+8)/x
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extreme\:f(x)=\frac{x^{3}+8}{x}
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P(x,y)=-3(20x-400)^2-6/7 (2y-44)^2+8
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P(x,y)=-3(20x-400)^{2}-\frac{6}{7}(2y-44)^{2}+8
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extreme f(x)=x^3-9/2 x^2+1
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extreme\:f(x)=x^{3}-\frac{9}{2}x^{2}+1
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y=2x^2+z^2
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y=2x^{2}+z^{2}
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f(x,y)=1-3x^4-6x^2y+2y^3
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f(x,y)=1-3x^{4}-6x^{2}y+2y^{3}
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extreme f(x)=8x^3+13x
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extreme\:f(x)=8x^{3}+13x
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extreme f(x,y)=18y^2+x^2-x^2y
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extreme\:f(x,y)=18y^{2}+x^{2}-x^{2}y
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extreme 2(1/2)^x
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extreme\:2(\frac{1}{2})^{x}
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intersección f(x)=y=x+7
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intersección\:f(x)=y=x+7
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extreme f(x)=((x-4)^2)/(x+10)
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extreme\:f(x)=\frac{(x-4)^{2}}{x+10}
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mínimo 2
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mínimo\:2
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extreme f(x)=4x-1
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extreme\:f(x)=4x-1
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extreme-2x^3+3x^2-12x
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extreme\:-2x^{3}+3x^{2}-12x
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extreme f(x)=2y^2+x^2-x^2y
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extreme\:f(x)=2y^{2}+x^{2}-x^{2}y
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extreme f(x)= x/(x^2+100)
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extreme\:f(x)=\frac{x}{x^{2}+100}
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extreme f(x)= 4/3 x^3+4x^2-252x+7
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extreme\:f(x)=\frac{4}{3}x^{3}+4x^{2}-252x+7
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extreme f(x)=4x-9x^{4/9}
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extreme\:f(x)=4x-9x^{\frac{4}{9}}
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f(x,y)=3x^3-9x+9xy^2
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f(x,y)=3x^{3}-9x+9xy^{2}
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extreme f(x)=2x^2-8x+y^2-8y+2
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extreme\:f(x)=2x^{2}-8x+y^{2}-8y+2
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critical points f(x)=x^4+16x^3+64x^2+96
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critical\:points\:f(x)=x^{4}+16x^{3}+64x^{2}+96
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f(x,y)=6x+3y-7
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f(x,y)=6x+3y-7
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extreme-2x^2+3x-1
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extreme\:-2x^{2}+3x-1
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extreme f(x,y)=2x^3-y^2+2xy+1
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extreme\:f(x,y)=2x^{3}-y^{2}+2xy+1
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f(x,y)=sqrt(1-xy)
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f(x,y)=\sqrt{1-xy}
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extreme f(x)= 1/7 x^7-x
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extreme\:f(x)=\frac{1}{7}x^{7}-x
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f(x,y)= 1/x+xy-8/y
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f(x,y)=\frac{1}{x}+xy-\frac{8}{y}
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extreme f(x)=e^{xy}-x
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extreme\:f(x)=e^{xy}-x
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mínimo y=3x^2-12x+13
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mínimo\:y=3x^{2}-12x+13
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extreme f(x)= 1/4 x^4-2x^3+3
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extreme\:f(x)=\frac{1}{4}x^{4}-2x^{3}+3
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extreme f(x)=sin(x),0<= x< pi/2
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extreme\:f(x)=\sin(x),0\le\:x<\frac{π}{2}
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inversa f(x)=e^{(sqrt(x))/3}
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inversa\:f(x)=e^{\frac{\sqrt{x}}{3}}
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extreme f(x)=((-8x^3+3x^2))/4
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extreme\:f(x)=\frac{(-8x^{3}+3x^{2})}{4}
|
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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)=(5+x)^5
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extreme\:f(x)=(5+x)^{5}
|
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f(x,y)=y(e^x-1)
|
f(x,y)=y(e^{x}-1)
|
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extreme f(x)= x/(x^2+9),-4<= x<= 5
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extreme\:f(x)=\frac{x}{x^{2}+9},-4\le\:x\le\:5
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extreme x^3+3x^2-24x
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extreme\:x^{3}+3x^{2}-24x
|
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extreme f(x)=x^3-15x^2+12x+7,-10<= x<= 10
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extreme\:f(x)=x^{3}-15x^{2}+12x+7,-10\le\:x\le\:10
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extreme-x^3+4xy-2y^2+1
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extreme\:-x^{3}+4xy-2y^{2}+1
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f(x,y)=x^2+2y^2-xy+14y
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f(x,y)=x^{2}+2y^{2}-xy+14y
|
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extreme f(x)=-x^{2/3}(x-2),-2<= x<= 2
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extreme\:f(x)=-x^{\frac{2}{3}}(x-2),-2\le\:x\le\:2
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extreme points f(x)=2x^3+3x^2-12x+1
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extreme\:points\:f(x)=2x^{3}+3x^{2}-12x+1
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extreme f(x)=7x+7cot(x/2)
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extreme\:f(x)=7x+7\cot(\frac{x}{2})
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extreme f(x)=-x^3+12x,(-6,5)
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extreme\:f(x)=-x^{3}+12x,(-6,5)
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