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Popular Functions & Graphing Problems
critical f(x,y)=(5x+7y+25)e^{-(x^2+xy+y^2)}
critical\:f(x,y)=(5x+7y+25)e^{-(x^{2}+xy+y^{2})}
extreme 3x^2y+y^3-3x^2-3y^2+2
extreme\:3x^{2}y+y^{3}-3x^{2}-3y^{2}+2
extreme f(x,y)=10xy-5x^2-7y^2+40x
extreme\:f(x,y)=10xy-5x^{2}-7y^{2}+40x
extreme f(x)=ln(1+8x^3)
extreme\:f(x)=\ln(1+8x^{3})
extreme f(x)=2xln(x)
extreme\:f(x)=2x\ln(x)
extreme f(x,y)=e^{-x-y}
extreme\:f(x,y)=e^{-x-y}
extreme f(x,y)=2xy-x^2-2y^2+3x+4
extreme\:f(x,y)=2xy-x^{2}-2y^{2}+3x+4
extreme f(x)=-x^3+3x^2+45x-42
extreme\:f(x)=-x^{3}+3x^{2}+45x-42
extreme (x^2)/(x-2)
extreme\:\frac{x^{2}}{x-2}
extreme f(x)=(2x^3)/3+3x^2-20x,(-7,5)
extreme\:f(x)=\frac{2x^{3}}{3}+3x^{2}-20x,(-7,5)
extreme y(x,t)=x(t-1/4)
extreme\:y(x,t)=x(t-\frac{1}{4})
extreme f(x)=2x^4+y^2-x^2-2y
extreme\:f(x)=2x^{4}+y^{2}-x^{2}-2y
extreme f(x,y)=50x+60y
extreme\:f(x,y)=50x+60y
extreme f(t)=10u(t)
extreme\:f(t)=10u(t)
extreme f(x)=3xy+x^3-y^2
extreme\:f(x)=3xy+x^{3}-y^{2}
extreme f(x,y)=-1/4 x^4+2/3 x^3+4xy-y^2
extreme\:f(x,y)=-\frac{1}{4}x^{4}+\frac{2}{3}x^{3}+4xy-y^{2}
extreme f(x,y)=xy(10-2x-3y)
extreme\:f(x,y)=xy(10-2x-3y)
extreme P(b,s)=b+2s
extreme\:P(b,s)=b+2s
extreme x^{2/3}(5/2-x)
extreme\:x^{\frac{2}{3}}(\frac{5}{2}-x)
extreme f(x)=2x^5+5x^4
extreme\:f(x)=2x^{5}+5x^{4}
extreme f(x,y)=3x^2-xy+2y^3
extreme\:f(x,y)=3x^{2}-xy+2y^{3}
extreme f(x)=xsqrt(15-x)
extreme\:f(x)=x\sqrt{15-x}
extreme f(x)=x^3-12xy+8y^3
extreme\:f(x)=x^{3}-12xy+8y^{3}
extreme f(x)=xsqrt(9-x^2),-1<= x<= 3
extreme\:f(x)=x\sqrt{9-x^{2}},-1\le\:x\le\:3
extreme x^2-2x-8
extreme\:x^{2}-2x-8
extreme f(x)=2x-y
extreme\:f(x)=2x-y
extreme y=(x^2)/(x^2+3)
extreme\:y=\frac{x^{2}}{x^{2}+3}
extreme f(x,y)=-x^3+6xy-3y^2+1
extreme\:f(x,y)=-x^{3}+6xy-3y^{2}+1
extreme x^4-32x^2
extreme\:x^{4}-32x^{2}
FUNCTION_MANY#extreme f(x,y)=xe^{-2x^2-2y^2}
FUNCTION_MANY#extreme\:f(x,y)=xe^{-2x^{2}-2y^{2}}
extreme f(x)=3x^4-4x^3-8,-1<= x<= 2
extreme\:f(x)=3x^{4}-4x^{3}-8,-1\le\:x\le\:2
extreme K(y,z)=3yz
extreme\:K(y,z)=3yz
extreme f(x,y)=x^2+2xy^2+2y^2
extreme\:f(x,y)=x^{2}+2xy^{2}+2y^{2}
extreme f(x)= 3/4 x^4+15x^3+75x^2-23
extreme\:f(x)=\frac{3}{4}x^{4}+15x^{3}+75x^{2}-23
extreme f(x)=x^3-(3/2)x^2
extreme\:f(x)=x^{3}-(\frac{3}{2})x^{2}
extreme f(x)=x^2,-1<= x<= 2
extreme\:f(x)=x^{2},-1\le\:x\le\:2
extreme f(x,y)=x^4+y^4-4xy+2
extreme\:f(x,y)=x^{4}+y^{4}-4xy+2
extreme f(x)= 1/2 x-sin(x)
extreme\:f(x)=\frac{1}{2}x-\sin(x)
extreme f(x)=xe^{3-(x/4)}
extreme\:f(x)=xe^{3-(\frac{x}{4})}
extreme 2x^2-8x+9
extreme\:2x^{2}-8x+9
extreme f(x,y)=2-x^4+2x^2-y^2
extreme\:f(x,y)=2-x^{4}+2x^{2}-y^{2}
extreme f(x)=12x^{2/3}-8x
extreme\:f(x)=12x^{\frac{2}{3}}-8x
extreme f(x)=x^5-5x^4+8
extreme\:f(x)=x^{5}-5x^{4}+8
extreme f(x)=2x^3-x^2+8x
extreme\:f(x)=2x^{3}-x^{2}+8x
extreme f(x)=2x^3+3x^2-180x
extreme\:f(x)=2x^{3}+3x^{2}-180x
extreme f(x)=sqrt(16-x^2-4y^2)
extreme\:f(x)=\sqrt{16-x^{2}-4y^{2}}
extreme f(x)=2x^4-32x^3+4
extreme\:f(x)=2x^{4}-32x^{3}+4
extreme f(x,y)=sqrt(1-(x^2)/4-y^2)
extreme\:f(x,y)=\sqrt{1-\frac{x^{2}}{4}-y^{2}}
extreme f(x)=x^3+2
extreme\:f(x)=x^{3}+2
extreme f(x)=x^3-1
extreme\:f(x)=x^{3}-1
extreme y=x^2-z^2
extreme\:y=x^{2}-z^{2}
extreme ln(x)+1/x
extreme\:\ln(x)+\frac{1}{x}
extreme f(x)=(x^2)/((x-4)^2)
extreme\:f(x)=\frac{x^{2}}{(x-4)^{2}}
extreme f(x,y)=4x^2+4y^2+x^4+y^4-6x^2y^2
extreme\:f(x,y)=4x^{2}+4y^{2}+x^{4}+y^{4}-6x^{2}y^{2}
extreme f(x,y)=x^3+3/2 y^2-3xy-124
extreme\:f(x,y)=x^{3}+\frac{3}{2}y^{2}-3xy-124
extreme 3x^4-4x^3+1
extreme\:3x^{4}-4x^{3}+1
extreme f(x,y)=8x^4+y^2-16xy
extreme\:f(x,y)=8x^{4}+y^{2}-16xy
extreme f(x,y)=x^2-2xy+4y^2-6x-6y+8
extreme\:f(x,y)=x^{2}-2xy+4y^{2}-6x-6y+8
extreme f(x)=x^3-3x^2-10
extreme\:f(x)=x^{3}-3x^{2}-10
extreme xsqrt(9-x^2)
extreme\:x\sqrt{9-x^{2}}
extreme f(x,y)=(2+x)/(sqrt(x-y^2))
extreme\:f(x,y)=\frac{2+x}{\sqrt{x-y^{2}}}
extreme xe^{3-x/4}
extreme\:xe^{3-\frac{x}{4}}
extreme f(x)=((x^2))/(x-1)
extreme\:f(x)=\frac{(x^{2})}{x-1}
extreme f(x,y)=2x^3-15x^2+y^3+6y^2
extreme\:f(x,y)=2x^{3}-15x^{2}+y^{3}+6y^{2}
extreme f(x,y)=10+2x^2-2xy+y^2+5x-3y
extreme\:f(x,y)=10+2x^{2}-2xy+y^{2}+5x-3y
extreme f(x)=x-4sqrt(x)
extreme\:f(x)=x-4\sqrt{x}
extreme x^2-y^2
extreme\:x^{2}-y^{2}
extreme (2x-2)/(x^2+x)+1
extreme\:\frac{2x-2}{x^{2}+x}+1
extreme f(x,y)=x^2+y^2-6x-6y
extreme\:f(x,y)=x^{2}+y^{2}-6x-6y
extreme f(x)=(-4)/(x^2-9)
extreme\:f(x)=\frac{-4}{x^{2}-9}
extreme f(x)=xe^{-7x}
extreme\:f(x)=xe^{-7x}
extreme f(x)=x(x^2-4)
extreme\:f(x)=x(x^{2}-4)
extreme 6sinh(3x)cosh(3x)
extreme\:6\sinh(3x)\cosh(3x)
extreme f(x)=(-2(x^2-1))/(x^2-4)
extreme\:f(x)=\frac{-2(x^{2}-1)}{x^{2}-4}
extreme f(x,y)=(e^{2-xy})/(x+y^2)
extreme\:f(x,y)=\frac{e^{2-xy}}{x+y^{2}}
extreme f(x)=(-7)/(x^2-9)
extreme\:f(x)=\frac{-7}{x^{2}-9}
extreme f(x,y)=2x^2+3y^2-4x-3y-10
extreme\:f(x,y)=2x^{2}+3y^{2}-4x-3y-10
extreme f(x,y)=e^y-ye^x
extreme\:f(x,y)=e^{y}-ye^{x}
extreme f(x)=2x+cos(2x),0<x<pi
extreme\:f(x)=2x+\cos(2x),0<x<π
extreme f(x,y)=x^2-3xy+5x-2y+6y^2+8
extreme\:f(x,y)=x^{2}-3xy+5x-2y+6y^{2}+8
extreme f(x)= 3/4 x^4-3x^3-81x^2-16
extreme\:f(x)=\frac{3}{4}x^{4}-3x^{3}-81x^{2}-16
extreme f(x)=-5(x-4)^4+2
extreme\:f(x)=-5(x-4)^{4}+2
extreme f(x)=x^2-5
extreme\:f(x)=x^{2}-5
extreme f(x,y)=5e^{7xy}
extreme\:f(x,y)=5e^{7xy}
extreme f(x)=8ln(x)-x^2
extreme\:f(x)=8\ln(x)-x^{2}
extreme f(x)=3x^4+4x^3-36x^2-78
extreme\:f(x)=3x^{4}+4x^{3}-36x^{2}-78
extreme f(x,y)=x^2+xy
extreme\:f(x,y)=x^{2}+xy
extreme f(x)=x^2-4x+4
extreme\:f(x)=x^{2}-4x+4
extreme f(x)=x^4-8x^2+1
extreme\:f(x)=x^{4}-8x^{2}+1
extreme f(x,y)=4x^2+y^2-8x+6y+8
extreme\:f(x,y)=4x^{2}+y^{2}-8x+6y+8
extreme f(x)=ln(27+8x^3)
extreme\:f(x)=\ln(27+8x^{3})
extreme f(x)=x^5+10x^4+25x^3
extreme\:f(x)=x^{5}+10x^{4}+25x^{3}
extreme f(x,y)=x*y
extreme\:f(x,y)=x\cdot\:y
extreme f(x)=3-x-2/x
extreme\:f(x)=3-x-\frac{2}{x}
extreme f(x)=Ix+2I+3
extreme\:f(x)=Ix+2I+3
extreme 4xy-x^4-y^4
extreme\:4xy-x^{4}-y^{4}
FUNCTION_MANY#extreme f(x,y)=x^3-6xy+y^3
FUNCTION_MANY#extreme\:f(x,y)=x^{3}-6xy+y^{3}
FUNCTION_MANY#extreme f(x,y)=xy-3x-3y-x^2-y^2
FUNCTION_MANY#extreme\:f(x,y)=xy-3x-3y-x^{2}-y^{2}
roots 5xy
roots\:5xy
extreme f(x)=(x-2)^2
extreme\:f(x)=(x-2)^{2}
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