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Problemas populares de Functions & Graphing
extreme f(x)=xsqrt(x-x^2)
extreme\:f(x)=x\sqrt{x-x^{2}}
extreme f(x)=2x^3-9x^2-60x
extreme\:f(x)=2x^{3}-9x^{2}-60x
extreme f(x,y)=x^2y-2xy+2y^2x
extreme\:f(x,y)=x^{2}y-2xy+2y^{2}x
extreme f(x)=5x+5sin(x)
extreme\:f(x)=5x+5\sin(x)
extreme f(x)=x^2+2x+3
extreme\:f(x)=x^{2}+2x+3
f(x,y)=xsqrt(y)+ysqrt(x)
f(x,y)=x\sqrt{y}+y\sqrt{x}
P(x,y)=(x+1)^2-(y-2)^2
P(x,y)=(x+1)^{2}-(y-2)^{2}
f(x,y)=2x^3-2y^3+12xy+3
f(x,y)=2x^{3}-2y^{3}+12xy+3
extreme f(x)=x^2-5x+4
extreme\:f(x)=x^{2}-5x+4
y=sqrt(2x+1)on[0.2]
y=\sqrt{2x+1}on[0.2]
extreme f(x)=(7(x-1)^2)/(x+9)
extreme\:f(x)=\frac{7(x-1)^{2}}{x+9}
extreme f(x)=\sqrt[3]{x^2}-\sqrt[3]{x^5}
extreme\:f(x)=\sqrt[3]{x^{2}}-\sqrt[3]{x^{5}}
extreme f(x)=4x-5
extreme\:f(x)=4x-5
extreme 2sqrt(x)-x
extreme\:2\sqrt{x}-x
extreme f(x)=x^2+xy+y^2-16y+85
extreme\:f(x)=x^{2}+xy+y^{2}-16y+85
f(x,y)=x^2y^3-(x-2y)^2+6x^4y=3xy
f(x,y)=x^{2}y^{3}-(x-2y)^{2}+6x^{4}y=3xy
extreme x^2+3
extreme\:x^{2}+3
U(x,y)=(x+y)2+2y2
U(x,y)=(x+y)2+2y2
extreme f(x,y)=x^2+xy+y^2-y
extreme\:f(x,y)=x^{2}+xy+y^{2}-y
f(x,y)=x^3+3x^2+6xy+y^2
f(x,y)=x^{3}+3x^{2}+6xy+y^{2}
extreme ln^2(x^2+x+1)
extreme\:\ln^{2}(x^{2}+x+1)
f(x,y)=xy+e^{xy}
f(x,y)=xy+e^{xy}
extreme f(x)=x^3-3x-1
extreme\:f(x)=x^{3}-3x-1
f(x,y)=-3x^2-2y^2+3x-4y+5
f(x,y)=-3x^{2}-2y^{2}+3x-4y+5
f(x,y)=(500)/(4+x^2+y^2)
f(x,y)=\frac{500}{4+x^{2}+y^{2}}
extreme f(x)=5sin(3x)-5
extreme\:f(x)=5\sin(3x)-5
f(x,y)=2x^3y-sqrt(-xy)
f(x,y)=2x^{3}y-\sqrt{-xy}
extreme (x+3)^2-1
extreme\:(x+3)^{2}-1
f(x,y)=2x^3-9x^2+12x+2y^3+3y^2
f(x,y)=2x^{3}-9x^{2}+12x+2y^{3}+3y^{2}
f(x,y)=5x^2-3y^2+4xy-32x+10y
f(x,y)=5x^{2}-3y^{2}+4xy-32x+10y
extreme f(x)=5-3sin(2x)
extreme\:f(x)=5-3\sin(2x)
extreme f(x)=-x^3+12x-11
extreme\:f(x)=-x^{3}+12x-11
f(x,y)=sqrt(400-9x^2-49y^2)
f(x,y)=\sqrt{400-9x^{2}-49y^{2}}
extreme f(x)=4cos(3x)+5
extreme\:f(x)=4\cos(3x)+5
extreme f(x)=2-2cos(x),(0,2pi)
extreme\:f(x)=2-2\cos(x),(0,2π)
extreme f(x)=cos(x)-2x,0<= x<= 4pi
extreme\:f(x)=\cos(x)-2x,0\le\:x\le\:4π
f(x,y)=3y^2+x^3-6xy-9x
f(x,y)=3y^{2}+x^{3}-6xy-9x
extreme 1/4-3/2 x
extreme\:\frac{1}{4}-\frac{3}{2}x
f(x)=2x^2+2xy
f(x)=2x^{2}+2xy
extreme (2x-4)/3
extreme\:\frac{2x-4}{3}
extreme f(x)=2x^3-9x^2+12x+6
extreme\:f(x)=2x^{3}-9x^{2}+12x+6
extreme f(x)=-sin(x)-4
extreme\:f(x)=-\sin(x)-4
extreme f(x,y)=x^2+4y^2-2x+8y-1
extreme\:f(x,y)=x^{2}+4y^{2}-2x+8y-1
extreme f(x,y)=3-x^4+2x^2-y^2
extreme\:f(x,y)=3-x^{4}+2x^{2}-y^{2}
extreme f(x)=-3sin(2x)-4
extreme\:f(x)=-3\sin(2x)-4
f(x,y)=x^4y^4+2x^2y^2-2x^2-2y^2
f(x,y)=x^{4}y^{4}+2x^{2}y^{2}-2x^{2}-2y^{2}
extreme (x^2-x-6)/(x^2-7x+10)
extreme\:\frac{x^{2}-x-6}{x^{2}-7x+10}
extreme f(x)=((x^2-5)^3)/(125)
extreme\:f(x)=\frac{(x^{2}-5)^{3}}{125}
extreme f(x)=(x^3)/(2-x^2)
extreme\:f(x)=\frac{x^{3}}{2-x^{2}}
extreme f(x,y)=-5x^2-8y^2-2xy+42x+102y
extreme\:f(x,y)=-5x^{2}-8y^{2}-2xy+42x+102y
extreme f(x)=2x^2-12x+20
extreme\:f(x)=2x^{2}-12x+20
extreme 4x^2-4x
extreme\:4x^{2}-4x
extreme f(x)=2x^3-4x^2-3
extreme\:f(x)=2x^{3}-4x^{2}-3
extreme f(x,y)=x^2+xy+y^2-7y+16
extreme\:f(x,y)=x^{2}+xy+y^{2}-7y+16
f(x,y)=xy^2-x^3y
f(x,y)=xy^{2}-x^{3}y
extreme f(x)=x^3-3x,0<= x<= 2
extreme\:f(x)=x^{3}-3x,0\le\:x\le\:2
extreme f(x,y)=(x-y)(36-xy)
extreme\:f(x,y)=(x-y)(36-xy)
f(x,y)=2x^5+x^3y^2+6xy^4
f(x,y)=2x^{5}+x^{3}y^{2}+6xy^{4}
extreme f(x)=5+6x-8x^3
extreme\:f(x)=5+6x-8x^{3}
f(x,y)=y^3x^5+yx
f(x,y)=y^{3}x^{5}+yx
extreme f(x)=x^3+5x-4
extreme\:f(x)=x^{3}+5x-4
extreme f(x,y)=x^2+xy+y^2+2y
extreme\:f(x,y)=x^{2}+xy+y^{2}+2y
P(x,y)=10x+12y
P(x,y)=10x+12y
extreme f(x)=x-5ln(x)
extreme\:f(x)=x-5\ln(x)
extreme f(x)=(x+4)^{2/3}
extreme\:f(x)=(x+4)^{\frac{2}{3}}
f(x,y)=4x^2+1/4 y^3-2xy
f(x,y)=4x^{2}+\frac{1}{4}y^{3}-2xy
extreme f(x)=x^2+xy+y^2-y
extreme\:f(x)=x^{2}+xy+y^{2}-y
extreme f(x)=x^2-4x+1,0<= x<= 3
extreme\:f(x)=x^{2}-4x+1,0\le\:x\le\:3
extreme f(x)=3x^4-2x^3
extreme\:f(x)=3x^{4}-2x^{3}
extreme f(x)=2cos(2x)-2
extreme\:f(x)=2\cos(2x)-2
f(x,y)=3+x^2+xy+y^2
f(x,y)=3+x^{2}+xy+y^{2}
extreme (x-7)/(x^2)
extreme\:\frac{x-7}{x^{2}}
extreme f(x)=2x^3+30x^2+144x-1
extreme\:f(x)=2x^{3}+30x^{2}+144x-1
extreme f(x)=cos(3x)-2
extreme\:f(x)=\cos(3x)-2
extreme f(x)=4y^2-5x=2y-3y^2
extreme\:f(x)=4y^{2}-5x=2y-3y^{2}
extreme f(x)=2xsqrt(5-5x)
extreme\:f(x)=2x\sqrt{5-5x}
extreme f(x)=4xy^2-2x^2y-x
extreme\:f(x)=4xy^{2}-2x^{2}y-x
extreme (2x^2-5x+5)/(x-2)
extreme\:\frac{2x^{2}-5x+5}{x-2}
extreme f(x)=4sin^2(x),0<= x<= pi
extreme\:f(x)=4\sin^{2}(x),0\le\:x\le\:π
extreme f(x)=-5x^{5/3}+6\sqrt[3]{x}
extreme\:f(x)=-5x^{\frac{5}{3}}+6\sqrt[3]{x}
f(x,y)=3x^2y+y^3-3x^2-3y^2-2
f(x,y)=3x^{2}y+y^{3}-3x^{2}-3y^{2}-2
extreme f(x)=x^2-4x+9
extreme\:f(x)=x^{2}-4x+9
extreme 1-e^{-0.5x}
extreme\:1-e^{-0.5x}
f(x,y)=2xy+1/x+4/y
f(x,y)=2xy+\frac{1}{x}+\frac{4}{y}
extreme f(x)=sqrt(x)ln(8x)
extreme\:f(x)=\sqrt{x}\ln(8x)
extreme (sqrt(x))/(x-2sqrt(x))
extreme\:\frac{\sqrt{x}}{x-2\sqrt{x}}
extreme f(x)=5x^3e^{-x}
extreme\:f(x)=5x^{3}e^{-x}
extreme f(x)=sin^2(x),0<= x<= pi
extreme\:f(x)=\sin^{2}(x),0\le\:x\le\:π
extreme f(x)=(x^3+9)/(x^2+4)
extreme\:f(x)=\frac{x^{3}+9}{x^{2}+4}
extreme f(x,y)=8y^2+x^2-x^2y
extreme\:f(x,y)=8y^{2}+x^{2}-x^{2}y
extreme f(x)=2sin(x)-x
extreme\:f(x)=2\sin(x)-x
f(x,y)=x^2y-15xy^2+12y
f(x,y)=x^{2}y-15xy^{2}+12y
extreme f(x)=2x^3+24x+5
extreme\:f(x)=2x^{3}+24x+5
extreme f(x)=(2(x+2)^2)/(x^2)
extreme\:f(x)=\frac{2(x+2)^{2}}{x^{2}}
extreme f(x)=cos(3x)-2,(0,2pi)
extreme\:f(x)=\cos(3x)-2,(0,2π)
f(x,y)=x^3-4xy+y^3
f(x,y)=x^{3}-4xy+y^{3}
y=(x(z+2))/7
y=\frac{x(z+2)}{7}
extreme f(x)= 1/3 x^3+3/2 x^2-4x
extreme\:f(x)=\frac{1}{3}x^{3}+\frac{3}{2}x^{2}-4x
extreme 2xe^{-x^2}
extreme\:2xe^{-x^{2}}
extreme f(x)=2-2cos(x)
extreme\:f(x)=2-2\cos(x)
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