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Popular Functions & Graphing Problems
extreme f(x)=x^{4/3}-2x^{1/3}
extreme\:f(x)=x^{\frac{4}{3}}-2x^{\frac{1}{3}}
extreme x/(x^2+12x+35)
extreme\:\frac{x}{x^{2}+12x+35}
f(x)=xy^2-4x^2-3y^2+12x
f(x)=xy^{2}-4x^{2}-3y^{2}+12x
extreme f(x)=x^7e^{-x},-4<= x<= 11
extreme\:f(x)=x^{7}e^{-x},-4\le\:x\le\:11
extreme f(x)=5x^5-100
extreme\:f(x)=5x^{5}-100
extreme f(x)=x^{5/3}-12x^{2/3}
extreme\:f(x)=x^{\frac{5}{3}}-12x^{\frac{2}{3}}
extreme f(x)=x^4-4x^3,-1<= x<= 4
extreme\:f(x)=x^{4}-4x^{3},-1\le\:x\le\:4
extreme f(x)=12cos(x)+6sin(2x)
extreme\:f(x)=12\cos(x)+6\sin(2x)
extreme 2y^3+6yx^2-3x^3-150y
extreme\:2y^{3}+6yx^{2}-3x^{3}-150y
extreme f(x)=4xe^{-x}
extreme\:f(x)=4xe^{-x}
f(x,y)=ln(x^3y+3xy^3)
f(x,y)=\ln(x^{3}y+3xy^{3})
extreme f(x)=x^3+10x^2+25x-50
extreme\:f(x)=x^{3}+10x^{2}+25x-50
16LW
16LW
extreme f(x)=2x^2ln(x)
extreme\:f(x)=2x^{2}\ln(x)
extreme f(x)=2x^3e^{-x}
extreme\:f(x)=2x^{3}e^{-x}
extreme f(x)=8x^{1/3}-x^{4/3}
extreme\:f(x)=8x^{\frac{1}{3}}-x^{\frac{4}{3}}
extreme f(x)=2xln(9x)
extreme\:f(x)=2x\ln(9x)
f(x,y)=48xy-32x^3-24y^2
f(x,y)=48xy-32x^{3}-24y^{2}
extreme f(x)=x^2+8x+10
extreme\:f(x)=x^{2}+8x+10
extreme f(x)=-x+5
extreme\:f(x)=-x+5
extreme f(x)=x^3-3/2 x^2-6x
extreme\:f(x)=x^{3}-\frac{3}{2}x^{2}-6x
extreme f(x,y)=x*e^{-(x^2)/2-(y^2)/2}
extreme\:f(x,y)=x\cdot\:e^{-\frac{x^{2}}{2}-\frac{y^{2}}{2}}
extreme 88-1/2 x-(3200)/x
extreme\:88-\frac{1}{2}x-\frac{3200}{x}
extreme f(x)=e^{x^2-3x-1}[-3.3]
extreme\:f(x)=e^{x^{2}-3x-1}[-3.3]
extreme f(x)=x\sqrt[3]{x^2-4}
extreme\:f(x)=x\sqrt[3]{x^{2}-4}
extreme f(x)=x-2sqrt(x)
extreme\:f(x)=x-2\sqrt{x}
f(x,y)=x^2+3xy+2y^4
f(x,y)=x^{2}+3xy+2y^{4}
f(x,y)=x^3+y^3-33xy
f(x,y)=x^{3}+y^{3}-33xy
extreme sin^2(x)-sqrt(2)*sin(x)+2sqrt(2)
extreme\:\sin^{2}(x)-\sqrt{2}\cdot\:\sin(x)+2\sqrt{2}
extreme f(x)=2x-7
extreme\:f(x)=2x-7
extreme y^3+3x^2y-6x^2-6y^2+2
extreme\:y^{3}+3x^{2}y-6x^{2}-6y^{2}+2
extreme x/(x^2+49)
extreme\:\frac{x}{x^{2}+49}
f(x,y)=-y^2+xy-x^3+y+3
f(x,y)=-y^{2}+xy-x^{3}+y+3
extreme f(x)=3xy-x^2y-xy^2
extreme\:f(x)=3xy-x^{2}y-xy^{2}
u(x,y)=x^y
u(x,y)=x^{y}
f(x,y)=4x^4+y^2-2xy+1
f(x,y)=4x^{4}+y^{2}-2xy+1
f(x,y)=2^2x^4+2^2y^4-4xy+13
f(x,y)=2^{2}x^{4}+2^{2}y^{4}-4xy+13
extreme f(x)=2x-4sin(x)
extreme\:f(x)=2x-4\sin(x)
extreme f(x,y)=2xy^2+x^3-3x^2-2y^2-6
extreme\:f(x,y)=2xy^{2}+x^{3}-3x^{2}-2y^{2}-6
extreme-1/3 x^3-5x^2+2000x-326
extreme\:-\frac{1}{3}x^{3}-5x^{2}+2000x-326
f(x)=xy(10-2x-3y)
f(x)=xy(10-2x-3y)
f(x,y)=5-2x+4y-x^2-4y^2
f(x,y)=5-2x+4y-x^{2}-4y^{2}
extreme f(x)=ln(x)
extreme\:f(x)=\ln(x)
U(x,y)=ln(x^2+4y^2-1)
U(x,y)=\ln(x^{2}+4y^{2}-1)
extreme f(x)=5x+1+1/(x-1)
extreme\:f(x)=5x+1+\frac{1}{x-1}
extreme f(x)=7x-8y+2xy-x^2+y^3
extreme\:f(x)=7x-8y+2xy-x^{2}+y^{3}
extreme f(x,y)=x^2+xy+y^2-3x+2
extreme\:f(x,y)=x^{2}+xy+y^{2}-3x+2
extreme f(x)=sqrt(x)e^{-x}
extreme\:f(x)=\sqrt{x}e^{-x}
extreme f(x)=sin(6x)
extreme\:f(x)=\sin(6x)
extreme f(x)=3000x^2-2000x+8000
extreme\:f(x)=3000x^{2}-2000x+8000
extreme f(x)=(4x^2)/(x-8)
extreme\:f(x)=\frac{4x^{2}}{x-8}
extreme f(x)=x^2+6x+15
extreme\:f(x)=x^{2}+6x+15
extreme f(x)=-3
extreme\:f(x)=-3
extreme f(x,y)=-x^4+y^4+x^2-y^2
extreme\:f(x,y)=-x^{4}+y^{4}+x^{2}-y^{2}
extreme f(x)=(x+5)^3+7
extreme\:f(x)=(x+5)^{3}+7
extreme f(x)=4x^3+3x^2-60x-12
extreme\:f(x)=4x^{3}+3x^{2}-60x-12
f(x,y)=xy-x-2y+1
f(x,y)=xy-x-2y+1
extreme x+(16)/x
extreme\:x+\frac{16}{x}
extreme f(x)=xe^{x/3}
extreme\:f(x)=xe^{\frac{x}{3}}
f(x)=ln(1-x^2-y^2)
f(x)=\ln(1-x^{2}-y^{2})
f(x)=-x^2+y^2
f(x)=-x^{2}+y^{2}
f(m,a)=m*a
f(m,a)=m\cdot\:a
f(x,y)=y^5-3xy
f(x,y)=y^{5}-3xy
extreme f(x)=13x^3+138x^2-103
extreme\:f(x)=13x^{3}+138x^{2}-103
extreme f(x)=2x-4sqrt(x-3)
extreme\:f(x)=2x-4\sqrt{x-3}
extreme f(x)=x^3+6x^2-36x
extreme\:f(x)=x^{3}+6x^{2}-36x
f(x,y)=-6x^2+5xy-y^2+x+y
f(x,y)=-6x^{2}+5xy-y^{2}+x+y
extreme f(x)=-1/2 x^2+2x+3
extreme\:f(x)=-\frac{1}{2}x^{2}+2x+3
extreme f(x)=x^{3/5}
extreme\:f(x)=x^{\frac{3}{5}}
extreme f(x,y)=x^2-y^2x-xy
extreme\:f(x,y)=x^{2}-y^{2}x-xy
extreme f(x)=(4x)/(x^2-4)
extreme\:f(x)=\frac{4x}{x^{2}-4}
extreme f(x,y)=2x^2+3y^2+2xy+10x-20y
extreme\:f(x,y)=2x^{2}+3y^{2}+2xy+10x-20y
extreme f(x)=x^3-5x^2+6x
extreme\:f(x)=x^{3}-5x^{2}+6x
f(x,y)=-x^3-y^3+(3x^2)/3+3y^2
f(x,y)=-x^{3}-y^{3}+\frac{3x^{2}}{3}+3y^{2}
f(x,y)=x^2y-2xy+3y^3-3y
f(x,y)=x^{2}y-2xy+3y^{3}-3y
extreme 3x^5-10x^3
extreme\:3x^{5}-10x^{3}
extreme f(x)=-2x^2+12x+3
extreme\:f(x)=-2x^{2}+12x+3
extreme f(x)=3sin^2(x)
extreme\:f(x)=3\sin^{2}(x)
extreme (x-1)^2(x+3)
extreme\:(x-1)^{2}(x+3)
extreme (2-x)/(e^x)
extreme\:\frac{2-x}{e^{x}}
extreme f(x)=(x-3)^3+4
extreme\:f(x)=(x-3)^{3}+4
f(x,y)=x^2+xy+y^2-34y+385
f(x,y)=x^{2}+xy+y^{2}-34y+385
minimum 4x^3-3x^2-6x+3
minimum\:4x^{3}-3x^{2}-6x+3
minimum 4x^4+4y^4-xy
minimum\:4x^{4}+4y^{4}-xy
extreme f(x)=x^3+3xy^2-15x+y^3-15y
extreme\:f(x)=x^{3}+3xy^{2}-15x+y^{3}-15y
extreme f(x,y)=y^3+3x^2-12x-6y^2
extreme\:f(x,y)=y^{3}+3x^{2}-12x-6y^{2}
extreme f(x)=x-2sin(x),0<= x<= 2pi
extreme\:f(x)=x-2\sin(x),0\le\:x\le\:2π
extreme f(x)=x^3(x-1)^2
extreme\:f(x)=x^{3}(x-1)^{2}
f(x,y)=100+x^2+y^2
f(x,y)=100+x^{2}+y^{2}
extreme f(x)=x^4-32x^2+7
extreme\:f(x)=x^{4}-32x^{2}+7
extreme f(x)=(t^2-1)^3
extreme\:f(x)=(t^{2}-1)^{3}
f(x)=y+z-2
f(x)=y+z-2
extreme f(x)=x^3-6x
extreme\:f(x)=x^{3}-6x
extreme f(x)=(x^3)/((x-1)^2)
extreme\:f(x)=\frac{x^{3}}{(x-1)^{2}}
f(x,y)=x^3-3x+y^2
f(x,y)=x^{3}-3x+y^{2}
extreme f(x)=x^4-6x^3+12x^2-8x+1
extreme\:f(x)=x^{4}-6x^{3}+12x^{2}-8x+1
f(x,y)= 9/(sqrt(6-4x^2-9y^2))
f(x,y)=\frac{9}{\sqrt{6-4x^{2}-9y^{2}}}
extreme f(x)=x^5-10x^4-3x^2
extreme\:f(x)=x^{5}-10x^{4}-3x^{2}
f(x,y)=2x^2+y^2+3xy-3y-5x+8
f(x,y)=2x^{2}+y^{2}+3xy-3y-5x+8
extreme f(x)=-x^3-9x^2
extreme\:f(x)=-x^{3}-9x^{2}
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