extreme f(x)=((x-7)(x+9))+64
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extreme\:f(x)=((x-7)(x+9))+64
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extreme f(x)=(6x^3)/(x-4)
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extreme\:f(x)=\frac{6x^{3}}{x-4}
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extreme f(x)=2x^5+10x^4+x^3-10
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extreme\:f(x)=2x^{5}+10x^{4}+x^{3}-10
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f(4)=e^{2x^2+4y^2-16x}
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f(4)=e^{2x^{2}+4y^{2}-16x}
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extreme (4x+y-2)^2+(x+y-1)^2+(4-4x-y)^2
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extreme\:(4x+y-2)^{2}+(x+y-1)^{2}+(4-4x-y)^{2}
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extreme y=5cos^2(x)
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extreme\:y=5\cos^{2}(x)
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rango x^3+5
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rango\:x^{3}+5
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h(x,t)=1.5+log_{3}(x)(t+1)
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h(x,t)=1.5+\log_{3}(x)(t+1)
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mínimo (3200)/x+200+50x
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mínimo\:\frac{3200}{x}+200+50x
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f(xy)=x^2+4y^2
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f(xy)=x^{2}+4y^{2}
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extreme f(x)=-(2e^{-(2x)/a})/(pia^4)*4pi
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extreme\:f(x)=-\frac{2e^{-\frac{2x}{a}}}{πa^{4}}\cdot\:4π
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f(x,y)=-2x^2+16x-y^2+6y-30
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f(x,y)=-2x^{2}+16x-y^{2}+6y-30
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extreme f(x)=2x-1/2 (x/(50))^2-1000
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extreme\:f(x)=2x-\frac{1}{2}(\frac{x}{50})^{2}-1000
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extreme f(x,y)=-6x^2-3xy-7y^2-90x+4y+8
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extreme\:f(x,y)=-6x^{2}-3xy-7y^{2}-90x+4y+8
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mínimo f(x)=(x+1)^7-7x-2
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mínimo\:f(x)=(x+1)^{7}-7x-2
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extreme f(x)=7sqrt(x)e^{-x}
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extreme\:f(x)=7\sqrt{x}e^{-x}
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extreme points f(x)=2-2x^2
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extreme\:points\:f(x)=2-2x^{2}
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extreme f(x)=2-3x+x^3
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extreme\:f(x)=2-3x+x^{3}
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extreme 375x^2-2250x^3
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extreme\:375x^{2}-2250x^{3}
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f(x)=-3x^4+12x^3+24x^2+y^2-49
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f(x)=-3x^{4}+12x^{3}+24x^{2}+y^{2}-49
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extreme f(x,y)=y^3-yx-2xy^2+2x^2
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extreme\:f(x,y)=y^{3}-yx-2xy^{2}+2x^{2}
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extreme f(x)=-5-x^{2/5}
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extreme\:f(x)=-5-x^{\frac{2}{5}}
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extreme f(x)= 1/(x^3+3x^2+5x+1)
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extreme\:f(x)=\frac{1}{x^{3}+3x^{2}+5x+1}
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extreme y=32cos(10x)+25
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extreme\:y=32\cos(10x)+25
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extreme f(x)=sqrt(-2x^2+4)
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extreme\:f(x)=\sqrt{-2x^{2}+4}
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intersección f(x)=x^2+3x+2
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intersección\:f(x)=x^{2}+3x+2
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extreme (sqrt(1-2x))/(x^2-x)
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extreme\:\frac{\sqrt{1-2x}}{x^{2}-x}
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extreme x^4+x^3-8x^2-12x
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extreme\:x^{4}+x^{3}-8x^{2}-12x
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extreme f(x)=e^x(x-9)
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extreme\:f(x)=e^{x}(x-9)
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extreme 3x^2+2x[-2.1]
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extreme\:3x^{2}+2x[-2.1]
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extreme f(x)=x^3-48xy+64y^3
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extreme\:f(x)=x^{3}-48xy+64y^{3}
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f(xy)=x^3-3xy+y^3
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f(xy)=x^{3}-3xy+y^{3}
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extreme e^x(x-3)
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extreme\:e^{x}(x-3)
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extreme y=2sin(x)+9cos(x),0<= x<= 2pi
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extreme\:y=2\sin(x)+9\cos(x),0\le\:x\le\:2π
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domínio f(x)=((x+1))/((5-x))
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domínio\:f(x)=\frac{(x+1)}{(5-x)}
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extreme f(x)=-10x^2+180x+10
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extreme\:f(x)=-10x^{2}+180x+10
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mínimo f(x)=2x^3+3x^2-336x
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mínimo\:f(x)=2x^{3}+3x^{2}-336x
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extreme f(x)=(8-x)/(5+x)
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extreme\:f(x)=\frac{8-x}{5+x}
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extreme f(x)=3+2x^2
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extreme\:f(x)=3+2x^{2}
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extreme f(x)=4x^3-32x
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extreme\:f(x)=4x^{3}-32x
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extreme y=-9cos(3x)
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extreme\:y=-9\cos(3x)
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extreme 4xe^x
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extreme\:4xe^{x}
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extreme f(x)=(8+x)/(8-x),4<= x<= 6
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extreme\:f(x)=\frac{8+x}{8-x},4\le\:x\le\:6
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extreme f(x)=-1+4(1-x)^2
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extreme\:f(x)=-1+4(1-x)^{2}
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extreme f(x)=2x^3-7x^2+4x
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extreme\:f(x)=2x^{3}-7x^{2}+4x
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domínio 1/(2x-6)
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domínio\:\frac{1}{2x-6}
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extreme x^4+2x^3+x^2+x+1
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extreme\:x^{4}+2x^{3}+x^{2}+x+1
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extreme \sqrt[3]{10x^3+10}
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extreme\:\sqrt[3]{10x^{3}+10}
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f(x)=x^2-4xy+y^2-4
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f(x)=x^{2}-4xy+y^{2}-4
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extreme f(x)=15x^2-60x+25
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extreme\:f(x)=15x^{2}-60x+25
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extreme f(x)=10sin(2x),(-2pi,2pi)
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extreme\:f(x)=10\sin(2x),(-2π,2π)
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extreme-1/2 x^4+4/3 x^3-14
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extreme\:-\frac{1}{2}x^{4}+\frac{4}{3}x^{3}-14
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f(x,y)=2xy-32x+64y
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f(x,y)=2xy-32x+64y
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extreme f(x)=6xy-1/2 (x^4+y^4)-2
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extreme\:f(x)=6xy-\frac{1}{2}(x^{4}+y^{4})-2
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f(x,y)=-x^2+2y^2
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f(x,y)=-x^{2}+2y^{2}
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y=sqrt(x+1)
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y=\sqrt{x+1}
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extreme f(x)=x^4-2x^2+y^3-27y-15
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extreme\:f(x)=x^{4}-2x^{2}+y^{3}-27y-15
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extreme f(x)=0.01x^2-0.2x+8
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extreme\:f(x)=0.01x^{2}-0.2x+8
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extreme f(x)=-2500x^2+45000+1360000
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extreme\:f(x)=-2500x^{2}+45000+1360000
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extreme f(x)=x+12x^2-72x+3
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extreme\:f(x)=x+12x^{2}-72x+3
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mínimo f(x,y)=8x^2-xy+17x-17y-18
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mínimo\:f(x,y)=8x^{2}-xy+17x-17y-18
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extreme-x^2-y^2+x+2y-1
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extreme\:-x^{2}-y^{2}+x+2y-1
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mínimo (x-1)ln(x-1)
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mínimo\:(x-1)\ln(x-1)
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mínimo log_{10}(1-x^2)
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mínimo\:\log_{10}(1-x^{2})
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extreme x^3+y^3-4xy+1
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extreme\:x^{3}+y^{3}-4xy+1
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critical points f(x)=(x-1)/(x^2+3)
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critical\:points\:f(x)=\frac{x-1}{x^{2}+3}
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extreme x^{1/3}(1-x)
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extreme\:x^{\frac{1}{3}}(1-x)
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extreme x^2-2xy+3y^2-12y
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extreme\:x^{2}-2xy+3y^{2}-12y
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extreme f(x)=2x^3+4x^2+2/1 x
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extreme\:f(x)=2x^{3}+4x^{2}+\frac{2}{1}x
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extreme f(x)=2x+(32)/x ,x\ne 0
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extreme\:f(x)=2x+\frac{32}{x},x\ne\:0
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f(24/13 , 88/39)=3xy-4x^2-3y^2+8x+8y-4
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f(\frac{24}{13},\frac{88}{39})=3xy-4x^{2}-3y^{2}+8x+8y-4
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extreme-x^3+75x+80
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extreme\:-x^{3}+75x+80
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extreme f(x)=x^3+6x^2+5
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extreme\:f(x)=x^{3}+6x^{2}+5
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extreme f(x,y)=x^2+y^2+x^2y
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extreme\:f(x,y)=x^{2}+y^{2}+x^{2}y
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extreme f(x,y)=(x-x^2)(y^2-4)
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extreme\:f(x,y)=(x-x^{2})(y^{2}-4)
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mínimo f(x)=(x^2)/(x^2-4)+2
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mínimo\:f(x)=\frac{x^{2}}{x^{2}-4}+2
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simetría y-1=(x-2)^2
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simetría\:y-1=(x-2)^{2}
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extreme x^2+y^2+x^{-2}y^{-2}+1
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extreme\:x^{2}+y^{2}+x^{-2}y^{-2}+1
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extreme f(x)=540x-5x^3
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extreme\:f(x)=540x-5x^{3}
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extreme 120x+120y-xy-x^2-y^2
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extreme\:120x+120y-xy-x^{2}-y^{2}
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extreme f(x)=500*2^{4x}
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extreme\:f(x)=500\cdot\:2^{4x}
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f(x,y)=xsqrt(1+y^{(3))}
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f(x,y)=x\sqrt{1+y^{(3)}}
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extreme f(x)=(x+6)(x+8)^2
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extreme\:f(x)=(x+6)(x+8)^{2}
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extreme f(x)=-4/3 x^3-21/2 x^2-5x+14
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extreme\:f(x)=-\frac{4}{3}x^{3}-\frac{21}{2}x^{2}-5x+14
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f(x,y)=x^2+xy+y^2-10y+33
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f(x,y)=x^{2}+xy+y^{2}-10y+33
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extreme f(x)=x^{1/5}(x-2)
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extreme\:f(x)=x^{\frac{1}{5}}(x-2)
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rango f(x)=-16x^2+48x+160
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rango\:f(x)=-16x^{2}+48x+160
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extreme f(x)=((x^2))/(x-2)
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extreme\:f(x)=\frac{(x^{2})}{x-2}
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extreme f(x)=((7ln(x)+4))/x
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extreme\:f(x)=\frac{(7\ln(x)+4)}{x}
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f(x)=(24)/x+4pir^2
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f(x)=\frac{24}{x}+4πr^{2}
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extreme f(x)=x^3-36x^2+324x-3280.5
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extreme\:f(x)=x^{3}-36x^{2}+324x-3280.5
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h(v,t)=vt-5t^2
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h(v,t)=vt-5t^{2}
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extreme f(x)=((3e^x))/(x^3)
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extreme\:f(x)=\frac{(3e^{x})}{x^{3}}
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extreme f(x)= 6/5 x^{5/2}-4/3 x^{3/2}+1
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extreme\:f(x)=\frac{6}{5}x^{\frac{5}{2}}-\frac{4}{3}x^{\frac{3}{2}}+1
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extreme f(x)=4sqrt(3)x+8cos(x)
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extreme\:f(x)=4\sqrt{3}x+8\cos(x)
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f(x,y)=x*e^{-2x^2-2y^2}
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f(x,y)=x\cdot\:e^{-2x^{2}-2y^{2}}
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extreme f(x)=4-7x^2,-4<= x<= 2
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extreme\:f(x)=4-7x^{2},-4\le\:x\le\:2
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rango (x-1)^2
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rango\:(x-1)^{2}
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f(x,y)=4+x^3-3xy+y^3
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f(x,y)=4+x^{3}-3xy+y^{3}
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extreme f(x)=375t-5t^3
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extreme\:f(x)=375t-5t^{3}
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