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extreme f(x)=x^{6/7},-2<= x<= 4
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extreme\:f(x)=x^{\frac{6}{7}},-2\le\:x\le\:4
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f(x,y)= 1/(e^{x-y)}
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f(x,y)=\frac{1}{e^{x-y}}
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f(x,y)=(x^3)/3-3y^2-(x^2)/2+3xy
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f(x,y)=\frac{x^{3}}{3}-3y^{2}-\frac{x^{2}}{2}+3xy
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y=((x+3)(x^2-2r))/(x^3)
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y=\frac{(x+3)(x^{2}-2r)}{x^{3}}
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extreme 14x^2+(3500)/x
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extreme\:14x^{2}+\frac{3500}{x}
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symmetry y=x^2-2x-8
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symmetry\:y=x^{2}-2x-8
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f(x,y)=x^3+y^3-12x-3y+15
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f(x,y)=x^{3}+y^{3}-12x-3y+15
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extreme f(x)=x^3+15^2
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extreme\:f(x)=x^{3}+15^{2}
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extreme f(x)=x^{(2)}+xy+y^{(2)}-6x-6y+5
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extreme\:f(x)=x^{(2)}+xy+y^{(2)}-6x-6y+5
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extreme f(x)=x^4-30x^2+29
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extreme\:f(x)=x^{4}-30x^{2}+29
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f(x,y)=e^{8x}-xy^3
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f(x,y)=e^{8x}-xy^{3}
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f(xy)=ln(4-x-y)
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f(xy)=\ln(4-x-y)
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extreme f(x)=x^4-6x^2+4
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extreme\:f(x)=x^{4}-6x^{2}+4
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extreme f(x,y)=3x+y
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extreme\:f(x,y)=3x+y
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extreme f(x,y)=6-x^4+2x^2-y^2
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extreme\:f(x,y)=6-x^{4}+2x^{2}-y^{2}
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minimum 4x^3+6x+2
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minimum\:4x^{3}+6x+2
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inverse of 3x-x^2
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inverse\:3x-x^{2}
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extreme f(x)=5x^2+1,-1<= x<= 2
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extreme\:f(x)=5x^{2}+1,-1\le\:x\le\:2
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extreme f(x)=-3x^2y-84xy+7y^2
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extreme\:f(x)=-3x^{2}y-84xy+7y^{2}
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f(x,y)=-(x^2-1)^2-(x^2y-x-1)^2
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f(x,y)=-(x^{2}-1)^{2}-(x^{2}y-x-1)^{2}
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extreme 0.5x^2+15x+5000
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extreme\:0.5x^{2}+15x+5000
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extreme f(x)=x^3-x-1
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extreme\:f(x)=x^{3}-x-1
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extreme f(x)=(2x^2+6)/(x-1)
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extreme\:f(x)=\frac{2x^{2}+6}{x-1}
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extreme f(x)=x^5+32
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extreme\:f(x)=x^{5}+32
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extreme f(x)=(x+1)^2(x-1/2)(x-2)
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extreme\:f(x)=(x+1)^{2}(x-\frac{1}{2})(x-2)
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P(x,y)=xy
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P(x,y)=xy
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inverse of \sqrt[3]{x-2}
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inverse\:\sqrt[3]{x-2}
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extreme x-2sin(x)(0.2pi)
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extreme\:x-2\sin(x)(0.2π)
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f(x,y)=(x+y)^{-1}
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f(x,y)=(x+y)^{-1}
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minimum f(x)=x^2-18x
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minimum\:f(x)=x^{2}-18x
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f(x,y)=sqrt(400-49x^2-16y^2)
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f(x,y)=\sqrt{400-49x^{2}-16y^{2}}
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extreme f(x)=(3x)/(x^2+1),-4<= x<= 4
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extreme\:f(x)=\frac{3x}{x^{2}+1},-4\le\:x\le\:4
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extreme f(x)=x^3+y^3-3x^2-6y^2-9x
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extreme\:f(x)=x^{3}+y^{3}-3x^{2}-6y^{2}-9x
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extreme 2x^3-x^2-4x+12
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extreme\:2x^{3}-x^{2}-4x+12
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minimum f(x)=x^4-8x^2+3
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minimum\:f(x)=x^{4}-8x^{2}+3
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parity f(x)=x^5+2x
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parity\:f(x)=x^{5}+2x
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extreme f(x)=x^3-3/2 x^2-6x+1
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extreme\:f(x)=x^{3}-\frac{3}{2}x^{2}-6x+1
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extreme f(x)=4x^2+4y^2-xy
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extreme\:f(x)=4x^{2}+4y^{2}-xy
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extreme f(x)=600+35x
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extreme\:f(x)=600+35x
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extreme f(x)=3cos(pix),0<= x<= 1/6
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extreme\:f(x)=3\cos(πx),0\le\:x\le\:\frac{1}{6}
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extreme f(x)=x^4-4x^2+2
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extreme\:f(x)=x^{4}-4x^{2}+2
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extreme f(x)= 1/2 x^{2/3}-x^{1/3}+3
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extreme\:f(x)=\frac{1}{2}x^{\frac{2}{3}}-x^{\frac{1}{3}}+3
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extreme f(x)=ln(3x+1)
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extreme\:f(x)=\ln(3x+1)
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extreme f(x)=-2+5sin(pi/(12)(x-2))
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extreme\:f(x)=-2+5\sin(\frac{π}{12}(x-2))
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f(x)=(2x-x^2)(2y-y^2)
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f(x)=(2x-x^{2})(2y-y^{2})
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midpoint (8,-7)(9,8)
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midpoint\:(8,-7)(9,8)
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extreme f(x,y)=9-2x+8y-x^2-4y^2
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extreme\:f(x,y)=9-2x+8y-x^{2}-4y^{2}
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extreme f(x)=-4x^5ln(2x)
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extreme\:f(x)=-4x^{5}\ln(2x)
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extreme f(x)=(x^3)/x-3x^2-7x
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extreme\:f(x)=\frac{x^{3}}{x}-3x^{2}-7x
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extreme y=x^3+3x^2+3x+1
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extreme\:y=x^{3}+3x^{2}+3x+1
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minimum f(x)=2+9x+3x^2-x^3
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minimum\:f(x)=2+9x+3x^{2}-x^{3}
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extreme f(x)=(8x-3)/x
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extreme\:f(x)=\frac{8x-3}{x}
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extreme 1+7/x-5/(x^2)
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extreme\:1+\frac{7}{x}-\frac{5}{x^{2}}
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extreme f(x)=4+(4+3x)^{2/3}
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extreme\:f(x)=4+(4+3x)^{\frac{2}{3}}
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extreme f(x)=6x+6/x
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extreme\:f(x)=6x+\frac{6}{x}
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domain of f(x)=-9x+4
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domain\:f(x)=-9x+4
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parity ((x-3))/(-4x^3+4x^2-5)
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parity\:\frac{(x-3)}{-4x^{3}+4x^{2}-5}
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f(x,y)=x^2-3xy-y^2
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f(x,y)=x^{2}-3xy-y^{2}
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p(x)=12x^4-27x^3+ax^2+27x-6
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p(x)=12x^{4}-27x^{3}+ax^{2}+27x-6
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extreme f(x,y)=x^3-3x+y^2+6y+8
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extreme\:f(x,y)=x^{3}-3x+y^{2}+6y+8
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extreme f(x,y)=8+76xy+38x^2+240y+(y^4)/4
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extreme\:f(x,y)=8+76xy+38x^{2}+240y+\frac{y^{4}}{4}
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extreme y=(x^2)/(ln(x))
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extreme\:y=\frac{x^{2}}{\ln(x)}
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extreme f(x)=x^3-6x^2+9+9,-1<= x<= 9
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extreme\:f(x)=x^{3}-6x^{2}+9+9,-1\le\:x\le\:9
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f(x,y)=sqrt(16-x^2-16y^2)
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f(x,y)=\sqrt{16-x^{2}-16y^{2}}
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extreme f(x)=x^3+y^3+9x^2-3y^2-8
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extreme\:f(x)=x^{3}+y^{3}+9x^{2}-3y^{2}-8
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f(x,y)=6x-x^2+2y^4-16y^2+5
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f(x,y)=6x-x^{2}+2y^{4}-16y^{2}+5
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extreme f(x)=x^{2/3}(20-x)
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extreme\:f(x)=x^{\frac{2}{3}}(20-x)
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monotone intervals f(x)=-x^3-7
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monotone\:intervals\:f(x)=-x^{3}-7
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u(x,y)=(x-4)(78-6x-3y)+(y-6)(66-3x-6y)
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u(x,y)=(x-4)(78-6x-3y)+(y-6)(66-3x-6y)
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y=x^2+6z+z^2
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y=x^{2}+6z+z^{2}
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extreme f(x)=(x-1)^2(x-3)
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extreme\:f(x)=(x-1)^{2}(x-3)
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f(x)=5x^2y-3xy^2-4x+3y
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f(x)=5x^{2}y-3xy^{2}-4x+3y
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extreme f(x)=tan(x)[-5,6]
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extreme\:f(x)=\tan(x)[-5,6]
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extreme-x^3+x^2+x+8
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extreme\:-x^{3}+x^{2}+x+8
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extreme x^3+y^2+12xy+1
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extreme\:x^{3}+y^{2}+12xy+1
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extreme f(x)=200x-(0.003x^2+80x+500000)
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extreme\:f(x)=200x-(0.003x^{2}+80x+500000)
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minimum-(40/3)/(x^2)+0.54x
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minimum\:-\frac{\frac{40}{3}}{x^{2}}+0.54x
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f(x,y)=x*e^y
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f(x,y)=x\cdot\:e^{y}
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parity f(x)=\sqrt[3]{7x^2}
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parity\:f(x)=\sqrt[3]{7x^{2}}
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extreme f(x)=4θ-6sin(θ)
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extreme\:f(x)=4θ-6\sin(θ)
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extreme f(x,y)=x^2+y^2-2x+y
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extreme\:f(x,y)=x^{2}+y^{2}-2x+y
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extreme f(x)=2x^3+9x^2-24x-10
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extreme\:f(x)=2x^{3}+9x^{2}-24x-10
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extreme f(x)=x^2+3x-2
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extreme\:f(x)=x^{2}+3x-2
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extreme f(x)=x^2+3x-9
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extreme\:f(x)=x^{2}+3x-9
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extreme f(x)=(25x^2+81)/x
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extreme\:f(x)=\frac{25x^{2}+81}{x}
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K(y,z)=4yz
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K(y,z)=4yz
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extreme f(x)=5x^3e^{-0.9x},-1<= x<= 5
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extreme\:f(x)=5x^{3}e^{-0.9x},-1\le\:x\le\:5
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extreme f(x)=x^4-98x^2+11,-6<= x<= 15
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extreme\:f(x)=x^{4}-98x^{2}+11,-6\le\:x\le\:15
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extreme f(x)=-2x^2+8x+13
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extreme\:f(x)=-2x^{2}+8x+13
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extreme f(x)=x^3-27x^2+216x
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extreme\:f(x)=x^{3}-27x^{2}+216x
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extreme f(x)=(9x^2-1)(1+4y)
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extreme\:f(x)=(9x^{2}-1)(1+4y)
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extreme f(x)=2x^3+6x-9
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extreme\:f(x)=2x^{3}+6x-9
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minimum 1/3 pir^2h
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minimum\:\frac{1}{3}πr^{2}h
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extreme f(x)=-2x^2+2x+4
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extreme\:f(x)=-2x^{2}+2x+4
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f(x,y)=y^3-3xy
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f(x,y)=y^{3}-3xy
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minimum f(x)=x^4-4x^3+16x-16
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minimum\:f(x)=x^{4}-4x^{3}+16x-16
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minimum f(x)=x^3-3x
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minimum\:f(x)=x^{3}-3x
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inverse of f(x)=(19)/(x^3)
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inverse\:f(x)=\frac{19}{x^{3}}
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f(x,y)=10x^2-4xy+25y^2
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f(x,y)=10x^{2}-4xy+25y^{2}
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extreme f(x)=(-3x^2y+9xy^2-12xy)/(xy)
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extreme\:f(x)=\frac{-3x^{2}y+9xy^{2}-12xy}{xy}
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