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Problemas populares de Functions & Graphing
extreme f(x)= 1/x-ln(x)
extreme\:f(x)=\frac{1}{x}-\ln(x)
extreme f(x,y)=e^{5x^2+5y^2+3}
extreme\:f(x,y)=e^{5x^{2}+5y^{2}+3}
extreme f(x)=-2x^3+42x^2-240x+5
extreme\:f(x)=-2x^{3}+42x^{2}-240x+5
extreme y=6x-x^2-2
extreme\:y=6x-x^{2}-2
extreme f(x)= 1/((x^2-2x+7))
extreme\:f(x)=\frac{1}{(x^{2}-2x+7)}
extreme f(x)=3x^2-27
extreme\:f(x)=3x^{2}-27
extreme x^2-14x+3
extreme\:x^{2}-14x+3
extreme f(x)=39+6x+(54)/x
extreme\:f(x)=39+6x+\frac{54}{x}
extreme (e^x)/(x^4)
extreme\:\frac{e^{x}}{x^{4}}
extreme F(x,y)=x^2+xy+y^2+3x-3y+4
extreme\:F(x,y)=x^{2}+xy+y^{2}+3x-3y+4
extreme f(x,y)=6-2x+4y-x^2-4y^2
extreme\:f(x,y)=6-2x+4y-x^{2}-4y^{2}
extreme f(x)=(4x-1)^2
extreme\:f(x)=(4x-1)^{2}
extreme f(x)=5x^2-10x+2,-4<= x<= 2
extreme\:f(x)=5x^{2}-10x+2,-4\le\:x\le\:2
extreme f(x)=x+sin(x),-pi/2 <= x<= pi/2
extreme\:f(x)=x+\sin(x),-\frac{π}{2}\le\:x\le\:\frac{π}{2}
extreme f(x,y)=8x^2+7y^2
extreme\:f(x,y)=8x^{2}+7y^{2}
extreme xsqrt(x+7)
extreme\:x\sqrt{x+7}
extreme f(y)=xy
extreme\:f(y)=xy
extreme f(x)=-x^2+120x-3200
extreme\:f(x)=-x^{2}+120x-3200
extreme 2x^3-3x^2-36x+54
extreme\:2x^{3}-3x^{2}-36x+54
extreme 2x^2-xy+y^2+7x
extreme\:2x^{2}-xy+y^{2}+7x
extreme f(x,y)=x^3+2xy^2+(y^4)/x
extreme\:f(x,y)=x^{3}+2xy^{2}+\frac{y^{4}}{x}
extreme f(x)=x^4-242x^2-5
extreme\:f(x)=x^{4}-242x^{2}-5
extreme f(x)=20x-10sqrt(x-2)
extreme\:f(x)=20x-10\sqrt{x-2}
extreme 2x^3+6x^2-90x
extreme\:2x^{3}+6x^{2}-90x
extreme F(x,y)=6-3x-2y
extreme\:F(x,y)=6-3x-2y
extreme f(x)=x^3-2x^2-15x+1
extreme\:f(x)=x^{3}-2x^{2}-15x+1
extreme f(x)=x^4-242x^2+7
extreme\:f(x)=x^{4}-242x^{2}+7
extreme f(x,y)=x^3y+4xy^2
extreme\:f(x,y)=x^{3}y+4xy^{2}
extreme ((x-2)(3-x))/(x^2)
extreme\:\frac{(x-2)(3-x)}{x^{2}}
extreme-x^{(2)}-9
extreme\:-x^{(2)}-9
extreme f(x,y)=e^{ln(x^2+y^2)}
extreme\:f(x,y)=e^{\ln(x^{2}+y^{2})}
extreme f(x)=-20x^2+1960x
extreme\:f(x)=-20x^{2}+1960x
extreme f(x)=(3-x)e^{-x}
extreme\:f(x)=(3-x)e^{-x}
extreme 2x^3-3x^2-36x+19
extreme\:2x^{3}-3x^{2}-36x+19
extreme f(x)=(x-2)^2(x+3^3)
extreme\:f(x)=(x-2)^{2}(x+3^{3})
extreme f(x)=sqrt(2)-12x
extreme\:f(x)=\sqrt{2}-12x
extreme x^3-27x+5
extreme\:x^{3}-27x+5
critical f(x,y)=x^{y^2}
critical\:f(x,y)=x^{y^{2}}
extreme f(x,y)=x^2+xy+y^2+4x-7y+6
extreme\:f(x,y)=x^{2}+xy+y^{2}+4x-7y+6
extreme f(x)=-3x^2-5,-4<= x<= 3
extreme\:f(x)=-3x^{2}-5,-4\le\:x\le\:3
extreme f(x,y)=x^2+y^2+8x-10y
extreme\:f(x,y)=x^{2}+y^{2}+8x-10y
extreme f(x)=ln(2x^2-2x+3),0<= x<= 2
extreme\:f(x)=\ln(2x^{2}-2x+3),0\le\:x\le\:2
extreme f(x)=5-6x^2,-4<= x<= 2
extreme\:f(x)=5-6x^{2},-4\le\:x\le\:2
extreme f(x)=-x^2(x-4)(x+4)
extreme\:f(x)=-x^{2}(x-4)(x+4)
extreme e^{9x}+e^{-x}
extreme\:e^{9x}+e^{-x}
extreme f(x)=x^3-3xy^2-3y^2+12y
extreme\:f(x)=x^{3}-3xy^{2}-3y^{2}+12y
extreme x^2y-6y^2-3x^2
extreme\:x^{2}y-6y^{2}-3x^{2}
extreme f(x)=-x^2+7x-7
extreme\:f(x)=-x^{2}+7x-7
extreme f(x)=x^3+x^2-46x+80
extreme\:f(x)=x^{3}+x^{2}-46x+80
extreme f(x)=3x^4+8x^3-6x^2+24x
extreme\:f(x)=3x^{4}+8x^{3}-6x^{2}+24x
extreme 3x(x-3)^3
extreme\:3x(x-3)^{3}
extreme f(x)=x^{4/3}+4^{1/3}
extreme\:f(x)=x^{\frac{4}{3}}+4^{\frac{1}{3}}
extreme f(x,y)=2y^2-xy+6y^2
extreme\:f(x,y)=2y^{2}-xy+6y^{2}
extreme-1/80 t^2+9/40 t-17/80
extreme\:-\frac{1}{80}t^{2}+\frac{9}{40}t-\frac{17}{80}
extreme 3x^2-4x-1
extreme\:3x^{2}-4x-1
extreme f(x)=f(x)=3x 5/3-15x 2/3
extreme\:f(x)=f(x)=3x\frac{5}{3}-15x\frac{2}{3}
extreme (x+3)/(x^3+2x^2-15x-36)
extreme\:\frac{x+3}{x^{3}+2x^{2}-15x-36}
extreme f(x)=(4x)/(sqrt(x^2+3))
extreme\:f(x)=\frac{4x}{\sqrt{x^{2}+3}}
extreme f(x,y)=(x-3)(y-3)(x+y-3)
extreme\:f(x,y)=(x-3)(y-3)(x+y-3)
extreme (5x-3)/(sqrt(36-x^2))
extreme\:\frac{5x-3}{\sqrt{36-x^{2}}}
extreme f(x)=f(x)=x+(25)/x+9,1<= x<= 50
extreme\:f(x)=f(x)=x+\frac{25}{x}+9,1\le\:x\le\:50
extreme f(x,y)=3+x^2+xy+y^2
extreme\:f(x,y)=3+x^{2}+xy+y^{2}
extreme f(x,y)=x^2-6xy+2y^2+10x+2y-5
extreme\:f(x,y)=x^{2}-6xy+2y^{2}+10x+2y-5
extreme 3/4 \times 2/5
extreme\:\frac{3}{4}\times\:\frac{2}{5}
extreme f(x)=6x+7ln(x)
extreme\:f(x)=6x+7\ln(x)
extreme f(x,y)=-1x^2-1y^2
extreme\:f(x,y)=-1x^{2}-1y^{2}
extreme f(x,y)=3x^2-x*y-y-4*x-1
extreme\:f(x,y)=3x^{2}-x\cdot\:y-y-4\cdot\:x-1
extreme f(x)=(x^3-4x-5)/(x+5),-1<= x<= 5
extreme\:f(x)=\frac{x^{3}-4x-5}{x+5},-1\le\:x\le\:5
extreme f(x,y)=xy(30-x-y)
extreme\:f(x,y)=xy(30-x-y)
extreme y=(5x)/(x^2-1)
extreme\:y=\frac{5x}{x^{2}-1}
extreme x^2-9x+5
extreme\:x^{2}-9x+5
extreme f(x)=x(x+1)^2(x-3)
extreme\:f(x)=x(x+1)^{2}(x-3)
extreme f(x)=12y-64
extreme\:f(x)=12y-64
extreme f(x)=y-e-2x^2y
extreme\:f(x)=y-e-2x^{2}y
extreme f(x)=(x^2-16)^{1/9},-5<= x<= 4
extreme\:f(x)=(x^{2}-16)^{\frac{1}{9}},-5\le\:x\le\:4
extreme y=6x-x^2+2
extreme\:y=6x-x^{2}+2
extreme f(x)=(e^{ax}-e^{-ax})/(e^{ax)+e^{-ax}}
extreme\:f(x)=\frac{e^{ax}-e^{-ax}}{e^{ax}+e^{-ax}}
extreme x+ln(x^2+1)
extreme\:x+\ln(x^{2}+1)
extreme V(B,h)=(Bh)/3
extreme\:V(B,h)=\frac{Bh}{3}
extreme x^3+3x^2+2x
extreme\:x^{3}+3x^{2}+2x
extreme f(x)=(1/x)ln(x)
extreme\:f(x)=(\frac{1}{x})\ln(x)
extreme f(x)=-8sin(4x)
extreme\:f(x)=-8\sin(4x)
extreme f(x)=16-4x-4/x ,[0,infinity ]
extreme\:f(x)=16-4x-\frac{4}{x},[0,\infty\:]
extreme f(x)=-7x-6
extreme\:f(x)=-7x-6
extreme f(x)=(x^2)/(1-x^2)
extreme\:f(x)=\frac{x^{2}}{1-x^{2}}
extreme f(x)=-6x^2+84x+1000
extreme\:f(x)=-6x^{2}+84x+1000
extreme f(x)=(4x)/(x^2+1),-3<= x<= 3
extreme\:f(x)=\frac{4x}{x^{2}+1},-3\le\:x\le\:3
extreme f(x)=(4x)/(x^2+1),-3<= x<= 0
extreme\:f(x)=\frac{4x}{x^{2}+1},-3\le\:x\le\:0
extreme f(x)=(4x+9)/(x^2+9)
extreme\:f(x)=\frac{4x+9}{x^{2}+9}
extreme f(x,y)=2xy-1
extreme\:f(x,y)=2xy-1
extreme f(2.4)=3-6(x-2)+9(y-4)
extreme\:f(2.4)=3-6(x-2)+9(y-4)
extreme-4x^4-9x^3+2x^2+7x-2
extreme\:-4x^{4}-9x^{3}+2x^{2}+7x-2
extreme f(x)=e^{-4x-4y}
extreme\:f(x)=e^{-4x-4y}
extreme (x-2)/(x+1)
extreme\:\frac{x-2}{x+1}
extreme f(x)=(x+4)^{4/5}
extreme\:f(x)=(x+4)^{\frac{4}{5}}
extreme f(x)=(x+1)^2(2x-x^2)
extreme\:f(x)=(x+1)^{2}(2x-x^{2})
extreme f(x)=2x^2-2x
extreme\:f(x)=2x^{2}-2x
extreme f(x)=-x^3-10x
extreme\:f(x)=-x^{3}-10x
extreme f(x,y)=6x^2-5y^2+6x+y+5
extreme\:f(x,y)=6x^{2}-5y^{2}+6x+y+5
extreme f(x)=ln((x+3)/(x-3))
extreme\:f(x)=\ln(\frac{x+3}{x-3})
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