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Popular Functions & Graphing Problems
extreme f(x)=x^2+y^2-xy+x+y
extreme\:f(x)=x^{2}+y^{2}-xy+x+y
extreme f(x)=x^{1/5}(x+6)
extreme\:f(x)=x^{\frac{1}{5}}(x+6)
y=x(3+5z)
y=x(3+5z)
K(r,s)=2r-s
K(r,s)=2r-s
f(x,y)=x^2-y^2+xy-x-y
f(x,y)=x^{2}-y^{2}+xy-x-y
f(x,y)=2y^3-3y^2-12y+2x^2-6x+3
f(x,y)=2y^{3}-3y^{2}-12y+2x^{2}-6x+3
f(x,y)=14xy-x^3-7y^2
f(x,y)=14xy-x^{3}-7y^{2}
extreme f(x)=x^4+(4x^3)/3-4x^2
extreme\:f(x)=x^{4}+\frac{4x^{3}}{3}-4x^{2}
extreme f(x)=x^3-12x^2+45x+8
extreme\:f(x)=x^{3}-12x^{2}+45x+8
extreme f(x)=(x^2-x)^{1/3}
extreme\:f(x)=(x^{2}-x)^{\frac{1}{3}}
extreme y=(x^2-6x+9)/((x-1)^2)
extreme\:y=\frac{x^{2}-6x+9}{(x-1)^{2}}
extreme f(x)= x/(1-x)
extreme\:f(x)=\frac{x}{1-x}
extreme 2x+10
extreme\:2x+10
extreme f(x)= 3/(x+4)
extreme\:f(x)=\frac{3}{x+4}
extreme f(x)=3x^3-6x^2-5x+1
extreme\:f(x)=3x^{3}-6x^{2}-5x+1
extreme 1+6x^2-x^3
extreme\:1+6x^{2}-x^{3}
f(x,y)= 1/(sqrt(4-x^2-y^2))
f(x,y)=\frac{1}{\sqrt{4-x^{2}-y^{2}}}
f(x,y)=x^2+xy+y^2-y
f(x,y)=x^{2}+xy+y^{2}-y
f(x,y)=x^2-6xy+y^3+3x+6y-2
f(x,y)=x^{2}-6xy+y^{3}+3x+6y-2
extreme f(x)=ln(5-3x^2)
extreme\:f(x)=\ln(5-3x^{2})
extreme f(x)=3y^2-2y^3-3x^2+6xy
extreme\:f(x)=3y^{2}-2y^{3}-3x^{2}+6xy
extreme f(x)=4+x^3+y^3-3xy
extreme\:f(x)=4+x^{3}+y^{3}-3xy
extreme f(x)=3x^{5/3}-15x^{2/3}
extreme\:f(x)=3x^{\frac{5}{3}}-15x^{\frac{2}{3}}
extreme f(x,y)=2x^2+y^2+6xy+10x-6y+5
extreme\:f(x,y)=2x^{2}+y^{2}+6xy+10x-6y+5
minimum f(x)=x^2-2x-8
minimum\:f(x)=x^{2}-2x-8
f(x)=2tx
f(x)=2tx
extreme f(x)= x/(x^2-x+4)
extreme\:f(x)=\frac{x}{x^{2}-x+4}
f(x,y)= 3/4 y^2+1/24 y^3-1/32 y^4-x^2
f(x,y)=\frac{3}{4}y^{2}+\frac{1}{24}y^{3}-\frac{1}{32}y^{4}-x^{2}
f(x,y)=2*((x^2-2*x+3))/(y*(y+2))
f(x,y)=2\cdot\:\frac{(x^{2}-2\cdot\:x+3)}{y\cdot\:(y+2)}
extreme 2x^3-3x^2-36x+5
extreme\:2x^{3}-3x^{2}-36x+5
extreme f(x,y)=x^3+y^3-3x-12y+20
extreme\:f(x,y)=x^{3}+y^{3}-3x-12y+20
extreme f(x)=3x^{2/3}
extreme\:f(x)=3x^{\frac{2}{3}}
extreme f(x,y)=3xe^y-x^3-e^{3y}
extreme\:f(x,y)=3xe^{y}-x^{3}-e^{3y}
extreme f(x)=x*e^{-x}
extreme\:f(x)=x\cdot\:e^{-x}
extreme f(x,y)=2x^2+xy^2-6xy+5x+2
extreme\:f(x,y)=2x^{2}+xy^{2}-6xy+5x+2
extreme f(x)=x-3/2 x^{2/3}
extreme\:f(x)=x-\frac{3}{2}x^{\frac{2}{3}}
extreme f(x)=xe^{7x^2}
extreme\:f(x)=xe^{7x^{2}}
f(x,y)=5x+3y+2
f(x,y)=5x+3y+2
extreme f(x)=(x^3+3)/(2x^2-6x-4)
extreme\:f(x)=\frac{x^{3}+3}{2x^{2}-6x-4}
extreme f(x)=(x^3-2)/((x-1)^2)
extreme\:f(x)=\frac{x^{3}-2}{(x-1)^{2}}
extreme (2x^2-2)/(x^2-4)
extreme\:\frac{2x^{2}-2}{x^{2}-4}
extreme f(x)=x^4-8x^3+5
extreme\:f(x)=x^{4}-8x^{3}+5
f(x)=2x+4y
f(x)=2x+4y
f(x,y)=e^{-x^2-y^2}
f(x,y)=e^{-x^{2}-y^{2}}
extreme f(x,y)=72y^2+x^2-x^2y
extreme\:f(x,y)=72y^{2}+x^{2}-x^{2}y
extreme f(x)=2x^4-4x^2+6
extreme\:f(x)=2x^{4}-4x^{2}+6
f(x)=ln(x+y-1)
f(x)=\ln(x+y-1)
extreme-x^3+3x^2-2
extreme\:-x^{3}+3x^{2}-2
extreme f(x)=x^2-x-1
extreme\:f(x)=x^{2}-x-1
f(x,y)=(x^2-1)(y+2)
f(x,y)=(x^{2}-1)(y+2)
extreme f(x)=xe^{-7x^2}
extreme\:f(x)=xe^{-7x^{2}}
extreme f(x)= 1/3 x^3-1/3 x^2-2x
extreme\:f(x)=\frac{1}{3}x^{3}-\frac{1}{3}x^{2}-2x
extreme f(x)=x^3-12xy+y^3
extreme\:f(x)=x^{3}-12xy+y^{3}
extreme f(x)=6xy-x^3-3y^2
extreme\:f(x)=6xy-x^{3}-3y^{2}
extreme f(x)=e^{x^2}
extreme\:f(x)=e^{x^{2}}
extreme f(x)=2x^2-5x+3
extreme\:f(x)=2x^{2}-5x+3
extreme f(x)=x^3-4x^2-3x+2
extreme\:f(x)=x^{3}-4x^{2}-3x+2
extreme f(x)=x^5-10x^4+25x^3
extreme\:f(x)=x^{5}-10x^{4}+25x^{3}
extreme f(x)=4sqrt(x)-8x
extreme\:f(x)=4\sqrt{x}-8x
extreme f(x)= 1/x*ln^2(3x)
extreme\:f(x)=\frac{1}{x}\cdot\:\ln^{2}(3x)
extreme 4x^2+4y^2+x^4+y^4-6x^2y^2
extreme\:4x^{2}+4y^{2}+x^{4}+y^{4}-6x^{2}y^{2}
extreme f(x)=xsqrt(36-x^2)
extreme\:f(x)=x\sqrt{36-x^{2}}
f(x)=2+4x+2x^2-xy+y^2
f(x)=2+4x+2x^{2}-xy+y^{2}
F(x,y)=x^3ln(y^2+1)-2y
F(x,y)=x^{3}\ln(y^{2}+1)-2y
f(x,y)=3x-2y-((xy+2)^2)/x+y-2
f(x,y)=3x-2y-\frac{(xy+2)^{2}}{x}+y-2
minimum f(x)=x^3-12x
minimum\:f(x)=x^{3}-12x
f(x)=x^y
f(x)=x^{y}
z(b,v)=b^{2v}
z(b,v)=b^{2v}
extreme (3x)/(x^2-25)
extreme\:\frac{3x}{x^{2}-25}
f(x)=x^2-xy
f(x)=x^{2}-xy
extreme f(x)=x^{1/3}(x-4)
extreme\:f(x)=x^{\frac{1}{3}}(x-4)
extreme f(x,y)=4x^2y+2xy^2-12xy-5
extreme\:f(x,y)=4x^{2}y+2xy^{2}-12xy-5
extreme f(x)=25x^2e^{2x}-16
extreme\:f(x)=25x^{2}e^{2x}-16
extreme f(x)=e^{-2x^2}
extreme\:f(x)=e^{-2x^{2}}
f(x,y)=4xy-x^3-2y^2
f(x,y)=4xy-x^{3}-2y^{2}
extreme f(x)=x^2y+y^3-75y
extreme\:f(x)=x^{2}y+y^{3}-75y
8xy
8xy
f(x,y)=ln(2-x^2-y^2)
f(x,y)=\ln(2-x^{2}-y^{2})
extreme-1/2 x^2-4x-2
extreme\:-\frac{1}{2}x^{2}-4x-2
extreme 4x^5-5x^4
extreme\:4x^{5}-5x^{4}
extreme f(x)=(x^2-3x+5)e^{(-x)/3}
extreme\:f(x)=(x^{2}-3x+5)e^{\frac{-x}{3}}
f(x,y)=2x+3y+5
f(x,y)=2x+3y+5
extreme f(x)=137
extreme\:f(x)=137
extreme f(x)=xe^{1-x/2}
extreme\:f(x)=xe^{1-\frac{x}{2}}
extreme f(x)=(x^2-1)/(x^2+1),-5<= x<= 5
extreme\:f(x)=\frac{x^{2}-1}{x^{2}+1},-5\le\:x\le\:5
extreme f(x)=3x^2+6x+1
extreme\:f(x)=3x^{2}+6x+1
extreme f(x)=-x^3+3x^2+45x-7
extreme\:f(x)=-x^{3}+3x^{2}+45x-7
f(x,y)=6x+3y-x^3-y^3
f(x,y)=6x+3y-x^{3}-y^{3}
extreme f(x)=-10/3 x^3-19x^2-24x+50
extreme\:f(x)=-\frac{10}{3}x^{3}-19x^{2}-24x+50
f(x,y)=2x-4y+7
f(x,y)=2x-4y+7
extreme f(x)=2x^2+3xy+4y^2+7x+11y
extreme\:f(x)=2x^{2}+3xy+4y^{2}+7x+11y
extreme f(x)=2x^3-3x^2y-12x^2-3y^2
extreme\:f(x)=2x^{3}-3x^{2}y-12x^{2}-3y^{2}
extreme f(x,y)=32x^4+y^2-16xy
extreme\:f(x,y)=32x^{4}+y^{2}-16xy
extreme f(x)=(x^2+9)/(2x)
extreme\:f(x)=\frac{x^{2}+9}{2x}
extreme f(x)=x+1/x+4/(x^3)
extreme\:f(x)=x+\frac{1}{x}+\frac{4}{x^{3}}
extreme f(x)=x-y=10
extreme\:f(x)=x-y=10
extreme f(x)=x^2y+y^3-27y
extreme\:f(x)=x^{2}y+y^{3}-27y
f(x,y)=x^3-9xy+y^3
f(x,y)=x^{3}-9xy+y^{3}
f(x,y)=-x^4+x^2+y^2+3
f(x,y)=-x^{4}+x^{2}+y^{2}+3
extreme f(x)=x^3-6x^2-15x+40
extreme\:f(x)=x^{3}-6x^{2}-15x+40
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