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Problemas populares de Functions & Graphing
extreme f(x)=3x^2-18x+24
extreme\:f(x)=3x^{2}-18x+24
extreme f(x,y)=x^3+y^3-24xy
extreme\:f(x,y)=x^{3}+y^{3}-24xy
extreme f(x,y)=-2x^2-2y^2-4xy+5x+4y
extreme\:f(x,y)=-2x^{2}-2y^{2}-4xy+5x+4y
extreme f(x)=(x^2+x)^{2/3}
extreme\:f(x)=(x^{2}+x)^{\frac{2}{3}}
extreme (x^2+12)(4-x^2)
extreme\:(x^{2}+12)(4-x^{2})
extreme f(xy)=x^3+y^3+2x^2+4y^2+6
extreme\:f(xy)=x^{3}+y^{3}+2x^{2}+4y^{2}+6
extreme f(x)=2sqrt(x)-4x
extreme\:f(x)=2\sqrt{x}-4x
extreme f(x)= 1/2 x^3-3xy+3y^2-x
extreme\:f(x)=\frac{1}{2}x^{3}-3xy+3y^{2}-x
extreme (x^2)/((x-1)^2)
extreme\:\frac{x^{2}}{(x-1)^{2}}
extreme f(x)= 3/2 x^4-x^6
extreme\:f(x)=\frac{3}{2}x^{4}-x^{6}
extreme f(x,y)=-3x^2+7xy-4y^2+x+y
extreme\:f(x,y)=-3x^{2}+7xy-4y^{2}+x+y
extreme x^4+x^3-6x^2
extreme\:x^{4}+x^{3}-6x^{2}
extreme f(x)=x^3-27x+7
extreme\:f(x)=x^{3}-27x+7
extreme f(x)=2x^3-9x^2+7x+6
extreme\:f(x)=2x^{3}-9x^{2}+7x+6
extreme f(x)=(x-5)/(x^2)
extreme\:f(x)=\frac{x-5}{x^{2}}
extreme f(x)=(x+1)(x-1)^2
extreme\:f(x)=(x+1)(x-1)^{2}
extreme f(x,y)=3x^2+y^3-3xy
extreme\:f(x,y)=3x^{2}+y^{3}-3xy
extreme f(x)=a^3y=x^3(4a-3x)
extreme\:f(x)=a^{3}y=x^{3}(4a-3x)
extreme f(x)= 10/3 x^3-11x^2+12x-24
extreme\:f(x)=\frac{10}{3}x^{3}-11x^{2}+12x-24
extreme y=x+sin(x)
extreme\:y=x+\sin(x)
extreme x^3-3x^2-9x+5
extreme\:x^{3}-3x^{2}-9x+5
extreme x/(sqrt(x^2+1))
extreme\:\frac{x}{\sqrt{x^{2}+1}}
extreme f(x,y)=x^6+y^3-3x^2-12y
extreme\:f(x,y)=x^{6}+y^{3}-3x^{2}-12y
extreme f(x,y)=x^3+y^2-2xy-x+3
extreme\:f(x,y)=x^{3}+y^{2}-2xy-x+3
extreme f(x,y)=2xy-3y-5
extreme\:f(x,y)=2xy-3y-5
extreme f(x)=(x-y)(36-xy)
extreme\:f(x)=(x-y)(36-xy)
extreme f(x)=5x-60x^{1/3}
extreme\:f(x)=5x-60x^{\frac{1}{3}}
extreme f(x)= 1/6 (x^3-6x^2+9x+6)
extreme\:f(x)=\frac{1}{6}(x^{3}-6x^{2}+9x+6)
extreme f(x)=x^3+3x^2-24x+12
extreme\:f(x)=x^{3}+3x^{2}-24x+12
extreme f(x,y)=x^2-3xy+y^2
extreme\:f(x,y)=x^{2}-3xy+y^{2}
extreme f(x,y)=x^4+y^4+3x^2y+2x
extreme\:f(x,y)=x^{4}+y^{4}+3x^{2}y+2x
extreme f(x,y)=x^2+y^2+2x^2y^2
extreme\:f(x,y)=x^{2}+y^{2}+2x^{2}y^{2}
extreme 16
extreme\:16
extreme f(x)=-5+y-10x
extreme\:f(x)=-5+y-10x
extreme f(x,y)=-6x^2+7xy-2y^2+x+y
extreme\:f(x,y)=-6x^{2}+7xy-2y^{2}+x+y
extreme f(x)=4x^3-12x^2+9x-1
extreme\:f(x)=4x^{3}-12x^{2}+9x-1
extreme 1/(x^2+y^2-1)
extreme\:\frac{1}{x^{2}+y^{2}-1}
extreme y=2xz
extreme\:y=2xz
extreme f(x)=x^9-9x
extreme\:f(x)=x^{9}-9x
extreme x-2sin(x)
extreme\:x-2\sin(x)
extreme f(x,y)=(x-1)(y+1)
extreme\:f(x,y)=(x-1)(y+1)
extreme 3x^3-3x^2-3x+2
extreme\:3x^{3}-3x^{2}-3x+2
extreme f(x)=-x^2+2x+5
extreme\:f(x)=-x^{2}+2x+5
extreme f(x)=3x^3-x^2+4x-2
extreme\:f(x)=3x^{3}-x^{2}+4x-2
extreme f(x,y)=-96*x+2*x^3+6*x*y^2-3*y^3
extreme\:f(x,y)=-96\cdot\:x+2\cdot\:x^{3}+6\cdot\:x\cdot\:y^{2}-3\cdot\:y^{3}
extreme y=x^3-3x^2-9x+5
extreme\:y=x^{3}-3x^{2}-9x+5
extreme f(x)=x^2(x-2)^3(x+2)^3
extreme\:f(x)=x^{2}(x-2)^{3}(x+2)^{3}
extreme f(x,y)=(xy)/((x^2-y^2)^2)
extreme\:f(x,y)=\frac{xy}{(x^{2}-y^{2})^{2}}
extreme f(x)=2x^5-6x^4
extreme\:f(x)=2x^{5}-6x^{4}
extreme f(x)=x^2-10x+24
extreme\:f(x)=x^{2}-10x+24
extreme f(x)=2x+(300000)/x ,1<= x<= 300
extreme\:f(x)=2x+\frac{300000}{x},1\le\:x\le\:300
extreme f(x)=-(x^2+x)^{2/3}
extreme\:f(x)=-(x^{2}+x)^{\frac{2}{3}}
extreme f(x)=-x^4+4x^3
extreme\:f(x)=-x^{4}+4x^{3}
extreme 1/3 x^3-x^2+x-5
extreme\:\frac{1}{3}x^{3}-x^{2}+x-5
extreme f(x)=(x^3)/(x^3+1)
extreme\:f(x)=\frac{x^{3}}{x^{3}+1}
extreme f(x)=98y^2+x^2-x^2y
extreme\:f(x)=98y^{2}+x^{2}-x^{2}y
extreme f(x)=((x+4)(x-3)^2)/(x^4(x-1))
extreme\:f(x)=\frac{(x+4)(x-3)^{2}}{x^{4}(x-1)}
extreme f(x)=xy-2x-2y-x^2-y^2
extreme\:f(x)=xy-2x-2y-x^{2}-y^{2}
extreme f(x,y)=2x^3+xy^2+5x^2+y^2+6
extreme\:f(x,y)=2x^{3}+xy^{2}+5x^{2}+y^{2}+6
extreme f(x)=x(6-2x)^2
extreme\:f(x)=x(6-2x)^{2}
extreme f(x,y)=22x^4+22y^4-4xy+18
extreme\:f(x,y)=22x^{4}+22y^{4}-4xy+18
extreme f(x)= 1/4 x^4+1/3 x^3-x^2+2/3
extreme\:f(x)=\frac{1}{4}x^{4}+\frac{1}{3}x^{3}-x^{2}+\frac{2}{3}
extreme f(x,y)=-4*(x^2+6x+8)/(y^2+6y+6)
extreme\:f(x,y)=-4\cdot\:\frac{x^{2}+6x+8}{y^{2}+6y+6}
extreme f(x)=x+(108)/(x^2)
extreme\:f(x)=x+\frac{108}{x^{2}}
extreme f(x)=(3x^2)/(1/2 x^2+1)
extreme\:f(x)=\frac{3x^{2}}{\frac{1}{2}x^{2}+1}
extreme g(x,y)=xy^{1/2}
extreme\:g(x,y)=xy^{\frac{1}{2}}
extreme f(x)=x^3-6x^2+12x-5
extreme\:f(x)=x^{3}-6x^{2}+12x-5
extreme f(x,y)=x^4-4x^2+y^4-8y^2+5
extreme\:f(x,y)=x^{4}-4x^{2}+y^{4}-8y^{2}+5
extreme f(x)=e^{-6x^2}
extreme\:f(x)=e^{-6x^{2}}
extreme 2sin(x-pi/6)
extreme\:2\sin(x-\frac{π}{6})
extreme f(x)=(2x^2)/(1-x^2)
extreme\:f(x)=\frac{2x^{2}}{1-x^{2}}
extreme f(x,y)=ln(x^2+4y^2-1)
extreme\:f(x,y)=\ln(x^{2}+4y^{2}-1)
extreme x^3-6x^2+9x+5
extreme\:x^{3}-6x^{2}+9x+5
extreme f(x)=x^4-4x^3-8x^2+8
extreme\:f(x)=x^{4}-4x^{3}-8x^{2}+8
extreme f(x,y)=6-x-2y
extreme\:f(x,y)=6-x-2y
extreme 2x^3+3x^2-36x
extreme\:2x^{3}+3x^{2}-36x
extreme f(x)= 1/(\sqrt[3]{1-x^2)}
extreme\:f(x)=\frac{1}{\sqrt[3]{1-x^{2}}}
extreme f(x,y)=x^2+xy+y^2-31y+320
extreme\:f(x,y)=x^{2}+xy+y^{2}-31y+320
extreme f(x)=(x+3)/(x-2)
extreme\:f(x)=\frac{x+3}{x-2}
extreme f(x)=x^3+2x+1
extreme\:f(x)=x^{3}+2x+1
extreme f(x)=6x^2-9x+5
extreme\:f(x)=6x^{2}-9x+5
extreme f(x)= 1/x [-2.3]
extreme\:f(x)=\frac{1}{x}[-2.3]
extreme (x^3)/3-2x^2+3x
extreme\:\frac{x^{3}}{3}-2x^{2}+3x
extreme e^x(8-x^2)
extreme\:e^{x}(8-x^{2})
extreme (-3x+45)/((x-95)^{11)}
extreme\:\frac{-3x+45}{(x-95)^{11}}
extreme f(x)=ln(x+1)
extreme\:f(x)=\ln(x+1)
extreme f(x,y)=ln(x^2+y^2-9)
extreme\:f(x,y)=\ln(x^{2}+y^{2}-9)
extreme f(x)=(2x)/(x^2-1)
extreme\:f(x)=\frac{2x}{x^{2}-1}
extreme f(x)=x^3-3x^2-4
extreme\:f(x)=x^{3}-3x^{2}-4
extreme 4x^2y+2xy^2-12xy-5
extreme\:4x^{2}y+2xy^{2}-12xy-5
extreme K(r,s)=4r-s
extreme\:K(r,s)=4r-s
extreme f(x)=3x^4+4x^3-12x^2+2
extreme\:f(x)=3x^{4}+4x^{3}-12x^{2}+2
extreme f(x)=3x^4+4x^3-12x^2+7
extreme\:f(x)=3x^{4}+4x^{3}-12x^{2}+7
extreme f(x,y)=2xy-2x^2-y^3+3
extreme\:f(x,y)=2xy-2x^{2}-y^{3}+3
extreme f(x,y)=xye^{(-x-y)}
extreme\:f(x,y)=xye^{(-x-y)}
extreme x^2-6x+5
extreme\:x^{2}-6x+5
extreme x/(x+3)
extreme\:\frac{x}{x+3}
extreme (sqrt(1-x^2))/(2x+1)
extreme\:\frac{\sqrt{1-x^{2}}}{2x+1}
extreme f(x)=(4x-2)/(x^2-10x+25)
extreme\:f(x)=\frac{4x-2}{x^{2}-10x+25}
extreme f(x,y)=xy+5x-5
extreme\:f(x,y)=xy+5x-5
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