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Popular Functions & Graphing Problems
extreme ln(x)+ln(2-x)
extreme\:\ln(x)+\ln(2-x)
extreme cos^2(x)-2sin(x)
extreme\:\cos^{2}(x)-2\sin(x)
extreme f(x)=x^{2/3}*(6-x)^{1/3}
extreme\:f(x)=x^{\frac{2}{3}}\cdot\:(6-x)^{\frac{1}{3}}
extreme f(x)=x^2+2y^2-9x-12y
extreme\:f(x)=x^{2}+2y^{2}-9x-12y
extreme f(x)=sin(x/2)
extreme\:f(x)=\sin(\frac{x}{2})
extreme f(x,y)=x^3+y^3-3x-3y+20
extreme\:f(x,y)=x^{3}+y^{3}-3x-3y+20
extreme f(x,y)=x^3+y^2-4xy+17x-10y+8
extreme\:f(x,y)=x^{3}+y^{2}-4xy+17x-10y+8
extreme f(x)=2x^3+45x^2+84x+29
extreme\:f(x)=2x^{3}+45x^{2}+84x+29
extreme x^3-12x^2+36x
extreme\:x^{3}-12x^{2}+36x
extreme f(x,y)=e^{x^2-y^2}
extreme\:f(x,y)=e^{x^{2}-y^{2}}
extreme x^3-12x+2
extreme\:x^{3}-12x+2
extreme f(x,y)= 1/3 y^3+x^2-2xy-15y+12
extreme\:f(x,y)=\frac{1}{3}y^{3}+x^{2}-2xy-15y+12
extreme f(x)=\sqrt[3]{x},-1<= x<= 8
extreme\:f(x)=\sqrt[3]{x},-1\le\:x\le\:8
extreme F(x,y)=y^3+3x^2y-6x^2-6y^2+2
extreme\:F(x,y)=y^{3}+3x^{2}y-6x^{2}-6y^{2}+2
extreme f(x,y)=-x^2-4y^2+6x+32y-76
extreme\:f(x,y)=-x^{2}-4y^{2}+6x+32y-76
extreme f(x,y)=3xy^2-x^3-15x+36y+9
extreme\:f(x,y)=3xy^{2}-x^{3}-15x+36y+9
extreme f(x,y)=(ln(x))/(sqrt(y-|x|))
extreme\:f(x,y)=\frac{\ln(x)}{\sqrt{y-\left|x\right|}}
extreme f(x)=4x^{2/3}-5x^{1/3}
extreme\:f(x)=4x^{\frac{2}{3}}-5x^{\frac{1}{3}}
extreme f(x)=2x^3-3ax^2+a^3
extreme\:f(x)=2x^{3}-3ax^{2}+a^{3}
extreme f(x)=x^5e^{-x}
extreme\:f(x)=x^{5}e^{-x}
extreme f(x,y)=2x^2+3xy+4y^2-2x+10y
extreme\:f(x,y)=2x^{2}+3xy+4y^{2}-2x+10y
extreme f(x)=sqrt(1-y+x)
extreme\:f(x)=\sqrt{1-y+x}
extreme f(x,y)=x^3-2xy+y^2+4
extreme\:f(x,y)=x^{3}-2xy+y^{2}+4
extreme f(x)=(x-2)(x-3)^2(x-4)^3
extreme\:f(x)=(x-2)(x-3)^{2}(x-4)^{3}
extreme x^3-6x^2+10
extreme\:x^{3}-6x^{2}+10
extreme f(x)=x(x-3)^2(x+1)
extreme\:f(x)=x(x-3)^{2}(x+1)
extreme x^3-3x+5
extreme\:x^{3}-3x+5
extreme x^3-3x+9
extreme\:x^{3}-3x+9
extreme (9-x)(9-y)(x+y-9)
extreme\:(9-x)(9-y)(x+y-9)
extreme f(x)=-4x^2-32x-62
extreme\:f(x)=-4x^{2}-32x-62
extreme f(x,y)=2x^3+6xy^2-3y^3-150x
extreme\:f(x,y)=2x^{3}+6xy^{2}-3y^{3}-150x
extreme f(x)=-2x^3-6x^2+48x+4
extreme\:f(x)=-2x^{3}-6x^{2}+48x+4
extreme f(x)=sin(2x)-cos(2x)
extreme\:f(x)=\sin(2x)-\cos(2x)
extreme (x-2)^2+1
extreme\:(x-2)^{2}+1
extreme f(x,y)=16xy-x^3-8y^2
extreme\:f(x,y)=16xy-x^{3}-8y^{2}
extreme f(x,y)=x^3-3x^2y+y^2+2y-3
extreme\:f(x,y)=x^{3}-3x^{2}y+y^{2}+2y-3
extreme f(x)=x^3+y^3-9xy
extreme\:f(x)=x^{3}+y^{3}-9xy
extreme f(x)={4-2x,x<= 1}
extreme\:f(x)=\left\{4-2x,x\le\:1\right\}
extreme f(x,y)=ln(x^2-4x+2y^2-16y+16)
extreme\:f(x,y)=\ln(x^{2}-4x+2y^{2}-16y+16)
extreme f(x)=-300x^2+13500x-5400
extreme\:f(x)=-300x^{2}+13500x-5400
extreme f(x)=sin(x),0<= x< pi/2
extreme\:f(x)=\sin(x),0\le\:x<\frac{π}{2}
extreme f(x)=3-|x-2|
extreme\:f(x)=3-\left|x-2\right|
extreme f(x)= 1/4 x^4-2/3 x^3-3/2 x^2+1
extreme\:f(x)=\frac{1}{4}x^{4}-\frac{2}{3}x^{3}-\frac{3}{2}x^{2}+1
extreme f(x,y)=(3x^2-1)/(x^2+y^2+1)
extreme\:f(x,y)=\frac{3x^{2}-1}{x^{2}+y^{2}+1}
extreme f(x)=3x+(27)/x
extreme\:f(x)=3x+\frac{27}{x}
extreme f(x)=(x^2-4)^2-4
extreme\:f(x)=(x^{2}-4)^{2}-4
extreme f(x)= 2/3 x^3-4x^2-45x
extreme\:f(x)=\frac{2}{3}x^{3}-4x^{2}-45x
extreme f(x,y)=ln(x+y+4)
extreme\:f(x,y)=\ln(x+y+4)
extreme 2x^3-3x^2-12x+5
extreme\:2x^{3}-3x^{2}-12x+5
extreme f(x)=x^2-xy+y^2+6y+2
extreme\:f(x)=x^{2}-xy+y^{2}+6y+2
extreme x/(x^2+10x+21)
extreme\:\frac{x}{x^{2}+10x+21}
extreme f(x)=x^3+15x^2-33x
extreme\:f(x)=x^{3}+15x^{2}-33x
extreme f(x)=-x/(x^2+4)
extreme\:f(x)=-\frac{x}{x^{2}+4}
extreme f(x)=-1/2 x^4+2x^3+28x^2+18
extreme\:f(x)=-\frac{1}{2}x^{4}+2x^{3}+28x^{2}+18
extreme f(x,y)=ln(x+y-4)
extreme\:f(x,y)=\ln(x+y-4)
extreme f(x,y)=x^2+xy+y^2-37y+456
extreme\:f(x,y)=x^{2}+xy+y^{2}-37y+456
extreme f(x,y)=3x^2-y^2
extreme\:f(x,y)=3x^{2}-y^{2}
extreme 3x^5-5x^3+1
extreme\:3x^{5}-5x^{3}+1
extreme f(x)=2sin(x)-cos(2x),0<= x<= 2pi
extreme\:f(x)=2\sin(x)-\cos(2x),0\le\:x\le\:2π
extreme f(x)=2x^2+3xy+4y^2-2x+10y
extreme\:f(x)=2x^{2}+3xy+4y^{2}-2x+10y
extreme f(x)=x^4-8x^3-6
extreme\:f(x)=x^{4}-8x^{3}-6
extreme K(r,s)=3r-s
extreme\:K(r,s)=3r-s
extreme f(x)=x(17-2x)(50/2-x)
extreme\:f(x)=x(17-2x)(\frac{50}{2}-x)
extreme f(x,y)=4x^2-x^2y+30y
extreme\:f(x,y)=4x^{2}-x^{2}y+30y
extreme f(x,y)=9y^2-3x^2-10y+5xy
extreme\:f(x,y)=9y^{2}-3x^{2}-10y+5xy
extreme f(x)=x^3-5x^2+3x+12,(-2,4)
extreme\:f(x)=x^{3}-5x^{2}+3x+12,(-2,4)
extreme f(x)=-4x^2+16x-3,-4<= x<= 4
extreme\:f(x)=-4x^{2}+16x-3,-4\le\:x\le\:4
extreme f(x,y)=-294*x+2*x^3+6*x*y^2-3*y^3
extreme\:f(x,y)=-294\cdot\:x+2\cdot\:x^{3}+6\cdot\:x\cdot\:y^{2}-3\cdot\:y^{3}
extreme f(x)=ln(xy-6)
extreme\:f(x)=\ln(xy-6)
extreme f(x)=e^{4x}+e^{-x}
extreme\:f(x)=e^{4x}+e^{-x}
extreme f(x,y)=3x^2+2y^2-18x+16y+7
extreme\:f(x,y)=3x^{2}+2y^{2}-18x+16y+7
extreme f(x)=(x+3)^2e^{-x}
extreme\:f(x)=(x+3)^{2}e^{-x}
extreme y=(-3x)/(sqrt(x^2+2))
extreme\:y=\frac{-3x}{\sqrt{x^{2}+2}}
extreme f(x)=2pir^2+(1500)/r
extreme\:f(x)=2πr^{2}+\frac{1500}{r}
extreme (x^2+10)(4-x^2)
extreme\:(x^{2}+10)(4-x^{2})
extreme f(x)=(-4)/(x^2-1)
extreme\:f(x)=\frac{-4}{x^{2}-1}
extreme x^3+2x^2-x-2
extreme\:x^{3}+2x^{2}-x-2
extreme 5-7x-4x^2
extreme\:5-7x-4x^{2}
extreme f(x)= 1/(x-3)
extreme\:f(x)=\frac{1}{x-3}
extreme y=x^2*e^x
extreme\:y=x^{2}\cdot\:e^{x}
extreme f(x,y)=6x^2y+2y^3-12x^2-12y^2+8
extreme\:f(x,y)=6x^{2}y+2y^{3}-12x^{2}-12y^{2}+8
extreme f(x)=((x^3+x^2-12x)/3)
extreme\:f(x)=(\frac{x^{3}+x^{2}-12x}{3})
extreme f(x)=-sin(x)
extreme\:f(x)=-\sin(x)
extreme f(x)=(x+5)^3
extreme\:f(x)=(x+5)^{3}
extreme f(x)=x^6(1-x)^3
extreme\:f(x)=x^{6}(1-x)^{3}
extreme f(x)=6x^2-6x-12
extreme\:f(x)=6x^{2}-6x-12
extreme f(x)=x^2+xy+y^2-25y+208
extreme\:f(x)=x^{2}+xy+y^{2}-25y+208
extreme f(x,y)=48x-48y-6x^2+6y^2
extreme\:f(x,y)=48x-48y-6x^{2}+6y^{2}
extreme (x^2y)/2-x^2+xy-2x-y^2
extreme\:\frac{x^{2}y}{2}-x^{2}+xy-2x-y^{2}
extreme y=x^2-2x
extreme\:y=x^{2}-2x
extreme f(x)=2x^3-3x^2-12x+5,0<= x<= 3
extreme\:f(x)=2x^{3}-3x^{2}-12x+5,0\le\:x\le\:3
extreme-x^2+3x-2,1<= x<= 3
extreme\:-x^{2}+3x-2,1\le\:x\le\:3
extreme (sqrt(2x-x^2))/x
extreme\:\frac{\sqrt{2x-x^{2}}}{x}
extreme f(x)=x^2,-2<= x<= 1
extreme\:f(x)=x^{2},-2\le\:x\le\:1
extreme f(x)=(x^2-27)/(x-6)
extreme\:f(x)=\frac{x^{2}-27}{x-6}
extreme f(x)=-2x^3+3x^2+12x+2
extreme\:f(x)=-2x^{3}+3x^{2}+12x+2
extreme f(x,y)=y^3-3yx^2-3y^2-3x^2+1
extreme\:f(x,y)=y^{3}-3yx^{2}-3y^{2}-3x^{2}+1
extreme f(x,y)=sqrt(ln(1/(x+y)))
extreme\:f(x,y)=\sqrt{\ln(\frac{1}{x+y})}
extreme f(x,y)=4x+6y
extreme\:f(x,y)=4x+6y
extreme f(x)=x^4-4x^3+5
extreme\:f(x)=x^{4}-4x^{3}+5
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