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Problemas populares de Functions & Graphing
f(x,y)=2x^2+3y^2-4x-6
f(x,y)=2x^{2}+3y^{2}-4x-6
f(x,y)=x^3-3xy
f(x,y)=x^{3}-3xy
extreme f(x)= 1/(x^2+2x+9)
extreme\:f(x)=\frac{1}{x^{2}+2x+9}
extreme f(x)=x^4-24x^2+23
extreme\:f(x)=x^{4}-24x^{2}+23
f(x,y)=x*e^{y/x}
f(x,y)=x\cdot\:e^{\frac{y}{x}}
extreme ((x^2-5))/(x+3)
extreme\:\frac{(x^{2}-5)}{x+3}
extreme y=(x-4)^2(x+2)^3
extreme\:y=(x-4)^{2}(x+2)^{3}
extreme f(x)= 1/3 x^3-x^2-3x+3
extreme\:f(x)=\frac{1}{3}x^{3}-x^{2}-3x+3
extreme f(x)=cos(x)-7x
extreme\:f(x)=\cos(x)-7x
extreme f(x)=(x-1)^3(x-2)
extreme\:f(x)=(x-1)^{3}(x-2)
extreme 2x^3+3x^2-12x-4
extreme\:2x^{3}+3x^{2}-12x-4
extreme f(x)=x^4-x^3-6x^2
extreme\:f(x)=x^{4}-x^{3}-6x^{2}
extreme f(x)=x^{-1/3}(x+2)
extreme\:f(x)=x^{-\frac{1}{3}}(x+2)
extreme 12y^3+64x^2y-2304y-7
extreme\:12y^{3}+64x^{2}y-2304y-7
extreme f(x)=0.5x-6sqrt(x)
extreme\:f(x)=0.5x-6\sqrt{x}
extreme xsqrt(64-x^2)
extreme\:x\sqrt{64-x^{2}}
extreme f(x)=x-(16)/x
extreme\:f(x)=x-\frac{16}{x}
extreme f(x)=x^2e^{16x}
extreme\:f(x)=x^{2}e^{16x}
extreme f(x)= 3/(4x^4-8x^2)
extreme\:f(x)=\frac{3}{4x^{4}-8x^{2}}
extreme f(x)=xsqrt(5-x^2)
extreme\:f(x)=x\sqrt{5-x^{2}}
f(x,y)=-6x^2-y^2+9x-5y+8
f(x,y)=-6x^{2}-y^{2}+9x-5y+8
extreme f(x)=(2x)/(x^2+9)
extreme\:f(x)=\frac{2x}{x^{2}+9}
extreme f(x)=-x^3+12x^2
extreme\:f(x)=-x^{3}+12x^{2}
extreme f(x)=x^2+y^2+xy^2
extreme\:f(x)=x^{2}+y^{2}+xy^{2}
extreme f(x)=4x^3+9x^2-12x+5
extreme\:f(x)=4x^{3}+9x^{2}-12x+5
extreme f(x)=-3+3x-x^2
extreme\:f(x)=-3+3x-x^{2}
mínimo 0.001x^3+8x+16
mínimo\:0.001x^{3}+8x+16
mínimo h(x)=-2x^2-1,-4<= x<= 3
mínimo\:h(x)=-2x^{2}-1,-4\le\:x\le\:3
f(y,z)=ln(1+y^2+z^2)
f(y,z)=\ln(1+y^{2}+z^{2})
extreme 3x^3-9x
extreme\:3x^{3}-9x
extreme f(x)=(x-3)^4
extreme\:f(x)=(x-3)^{4}
extreme f(x)=3x^2+5x-1
extreme\:f(x)=3x^{2}+5x-1
extreme ln(x^3+3x^2+7)
extreme\:\ln(x^{3}+3x^{2}+7)
f(x,y)=sqrt(8-x^2-y^2)
f(x,y)=\sqrt{8-x^{2}-y^{2}}
extreme f(x)=(sqrt(2))/2 x+sin(x)
extreme\:f(x)=\frac{\sqrt{2}}{2}x+\sin(x)
extreme f(x)=(x+2)^3(x-3)
extreme\:f(x)=(x+2)^{3}(x-3)
extreme f(x)=xy^2-6x^2-3y^2
extreme\:f(x)=xy^{2}-6x^{2}-3y^{2}
extreme f(x)=-x^3+27x-63
extreme\:f(x)=-x^{3}+27x-63
extreme f(x)=3x^3-6x^2+1
extreme\:f(x)=3x^{3}-6x^{2}+1
extreme f(x)=x^3+12x^2-27x+8,-10<= x<= 0
extreme\:f(x)=x^{3}+12x^{2}-27x+8,-10\le\:x\le\:0
extreme f(x,y)=x^2+xy+y^2-19y+120
extreme\:f(x,y)=x^{2}+xy+y^{2}-19y+120
extreme f(x)=x^3+6x^2-5,-5<= x<= 2
extreme\:f(x)=x^{3}+6x^{2}-5,-5\le\:x\le\:2
extreme f(x)=x^3-6x^2+12x+2
extreme\:f(x)=x^{3}-6x^{2}+12x+2
extreme f(x)=3x^3-4x^2-6x+1
extreme\:f(x)=3x^{3}-4x^{2}-6x+1
f(x,y)=x^2+(y-1)^2
f(x,y)=x^{2}+(y-1)^{2}
extreme f(x)=((x^2-7))/(x-4)
extreme\:f(x)=\frac{(x^{2}-7)}{x-4}
extreme f(x)=(x-1)(x-6)^3+6,1<= x<= 4
extreme\:f(x)=(x-1)(x-6)^{3}+6,1\le\:x\le\:4
extreme f(x,y)=x^2y+y^3-27y
extreme\:f(x,y)=x^{2}y+y^{3}-27y
mínimo f(x)=x^{1/3}(x^2-9)
mínimo\:f(x)=x^{\frac{1}{3}}(x^{2}-9)
extreme x^4-y^3-2x^2+3y+1
extreme\:x^{4}-y^{3}-2x^{2}+3y+1
f(x,y)=1-x-y
f(x,y)=1-x-y
extreme 2+x-x^2
extreme\:2+x-x^{2}
extreme f(x)=-(x^2-4)
extreme\:f(x)=-(x^{2}-4)
extreme y=x^{6/7}(x^2-4)
extreme\:y=x^{\frac{6}{7}}(x^{2}-4)
extreme f(x)=y= 1/5 x^5-8/3 x^3+16x
extreme\:f(x)=y=\frac{1}{5}x^{5}-\frac{8}{3}x^{3}+16x
f(3,2)=(20000)/(3+x^2+y^2)
f(3,2)=\frac{20000}{3+x^{2}+y^{2}}
extreme f(x)=x+sqrt(8-x)
extreme\:f(x)=x+\sqrt{8-x}
extreme f(x)=|x^3-3x^2+2|
extreme\:f(x)=\left|x^{3}-3x^{2}+2\right|
extreme f(x,y)=xy+4
extreme\:f(x,y)=xy+4
extreme f(x)=x^4-5x^3+x^2+21x-18
extreme\:f(x)=x^{4}-5x^{3}+x^{2}+21x-18
extreme f(x)= 1/4 x^4-3x^3+4x^2
extreme\:f(x)=\frac{1}{4}x^{4}-3x^{3}+4x^{2}
extreme f(x)=x^2log_{5}(x)
extreme\:f(x)=x^{2}\log_{5}(x)
extreme f(x,y)=2x+y
extreme\:f(x,y)=2x+y
extreme f(x)=6x+(384)/x
extreme\:f(x)=6x+\frac{384}{x}
extreme f(x)=xsqrt(x^2+36)
extreme\:f(x)=x\sqrt{x^{2}+36}
f(x,y)=(2-sqrt(x^2+y))/y
f(x,y)=\frac{2-\sqrt{x^{2}+y}}{y}
extreme f(x)=2x^3-6x^2-144x+7
extreme\:f(x)=2x^{3}-6x^{2}-144x+7
extreme f(x)=x^3-45x^2+243x+30000
extreme\:f(x)=x^{3}-45x^{2}+243x+30000
extreme e^{8x}+e^{-x}
extreme\:e^{8x}+e^{-x}
extreme f(x)=(x-1)^3+2
extreme\:f(x)=(x-1)^{3}+2
f(t)=10e^{at}
f(t)=10e^{at}
extreme f(x)=4x^2y-3xy^2+y
extreme\:f(x)=4x^{2}y-3xy^{2}+y
f(x,y)=2x^3+2y^2-800x
f(x,y)=2x^{3}+2y^{2}-800x
extreme f(x)=-x^3+27x-51
extreme\:f(x)=-x^{3}+27x-51
extreme f(x)=3+xy-x-2y
extreme\:f(x)=3+xy-x-2y
extreme f(x)=x^2+(240)/x
extreme\:f(x)=x^{2}+\frac{240}{x}
f(x,y)=4-x^2-2y^2
f(x,y)=4-x^{2}-2y^{2}
extreme f(x)=2x^3e^{-x},-1<= x<= 6
extreme\:f(x)=2x^{3}e^{-x},-1\le\:x\le\:6
f(x,y)=(x^3)/3-y^2-5x+xy-3
f(x,y)=\frac{x^{3}}{3}-y^{2}-5x+xy-3
f(x,y)=ln(xy-1)
f(x,y)=\ln(xy-1)
extreme f(x,y)=2x^2-2x^2y+y^2
extreme\:f(x,y)=2x^{2}-2x^{2}y+y^{2}
extreme x^2e^{-3x}
extreme\:x^{2}e^{-3x}
f(x,y)=x^2+xy+y^2-16y+85
f(x,y)=x^{2}+xy+y^{2}-16y+85
extreme f(x)=5-4x-x^3
extreme\:f(x)=5-4x-x^{3}
extreme f(x)=6x^4-8x^3-24x^2+35
extreme\:f(x)=6x^{4}-8x^{3}-24x^{2}+35
extreme y=x^{2/5}(x+3)
extreme\:y=x^{\frac{2}{5}}(x+3)
f(x,y)=-x^2+5y^2-7x+2y+5
f(x,y)=-x^{2}+5y^{2}-7x+2y+5
f(x,y)=3x^2y-3x^2-3y^2+y^3+2
f(x,y)=3x^{2}y-3x^{2}-3y^{2}+y^{3}+2
extreme f(x)=16x+9/x
extreme\:f(x)=16x+\frac{9}{x}
extreme (x^2+2)/(x^2-4x)
extreme\:\frac{x^{2}+2}{x^{2}-4x}
y=x(3t)
y=x(3t)
f(x,y)=ye^{x^2-y^2}
f(x,y)=ye^{x^{2}-y^{2}}
extreme f(x)=xe^{-4x^2}
extreme\:f(x)=xe^{-4x^{2}}
extreme f(x)=x^2+xy+1/2 y^2-2x+y
extreme\:f(x)=x^{2}+xy+\frac{1}{2}y^{2}-2x+y
f(x)=x*y
f(x)=x\cdot\:y
extreme f(x)=x^3-5x^2-8x-8
extreme\:f(x)=x^{3}-5x^{2}-8x-8
extreme f(x,y)=x^2y-15xy^2+12y
extreme\:f(x,y)=x^{2}y-15xy^{2}+12y
extreme f(x)=2x^2-4x+y^2-6y+3
extreme\:f(x)=2x^{2}-4x+y^{2}-6y+3
extreme f(x,y)=x^3-6xy+3y^2
extreme\:f(x,y)=x^{3}-6xy+3y^{2}
extreme f(x)=(2x^{5/2})/5-(2x^{3/2})/3-6
extreme\:f(x)=\frac{2x^{\frac{5}{2}}}{5}-\frac{2x^{\frac{3}{2}}}{3}-6
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