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Beliebte Functions & Graphing-Probleme
extreme y=0.0004x^2-0.0118x+2.6821
extreme
y
=
0
.
0
0
0
4
x
2
−
0
.
0
1
1
8
x
+
2
.
6
8
2
1
extreme sqrt(x)(8/5 x^3-2x^2)
extreme
√
x
(
8
5
x
3
−
2
x
2
)
extreme f(x)=ln((4-x)/(2+2x))
extreme
f
(
x
)
=
ln
(
4
−
x
2
+
2
x
)
extreme f(x)=x^{(2)}-5x+4
extreme
f
(
x
)
=
x
(
2
)
−
5
x
+
4
extreme f(y)=-0.06x^2-0.02y^2-1.5xy-85x+69y
extreme
f
(
y
)
=
−
0
.
0
6
x
2
−
0
.
0
2
y
2
−
1
.
5
xy
−
8
5
x
+
6
9
y
extreme f(x)=3x+5
extreme
f
(
x
)
=
3
x
+
5
extreme p(t)=500e^{kt}
extreme
p
(
t
)
=
5
0
0
e
kt
extreme f(x)=xy-x^2+y^2+x+y
extreme
f
(
x
)
=
xy
−
x
2
+
y
2
+
x
+
y
extreme \sqrt[7]{x}
extreme
7
√
x
extreme y= 1/2 x^4-4x^2+3
extreme
y
=
1
2
x
4
−
4
x
2
+
3
extreme y=-4x^3-6x^2+360x-12
extreme
y
=
−
4
x
3
−
6
x
2
+
3
6
0
x
−
1
2
extreme f(x)=2x^4+x^3-13x^2-9x-45
extreme
f
(
x
)
=
2
x
4
+
x
3
−
1
3
x
2
−
9
x
−
4
5
extreme f(x)=(2x^2-5x)/(2x+7)
extreme
f
(
x
)
=
2
x
2
−
5
x
2
x
+
7
extreme f(x)=4xe^{-3x}
extreme
f
(
x
)
=
4
xe
−
3
x
extreme f(x)=y(3x-5)
extreme
f
(
x
)
=
y
(
3
x
−
5
)
extreme f(x)=3x-7
extreme
f
(
x
)
=
3
x
−
7
extreme f(x)=2x-24x^{1/3}
extreme
f
(
x
)
=
2
x
−
2
4
x
1
3
extreme f(x)=-1/6000 x+85/6
extreme
f
(
x
)
=
−
1
6
0
0
0
x
+
8
5
6
extreme f(x)=3x-5
extreme
f
(
x
)
=
3
x
−
5
extreme 4xsqrt(4x^2+2)
extreme
4
x
√
4
x
2
+
2
extreme f(x)=4sin^2(x)[0,pi]
extreme
f
(
x
)
=
4
sin
2
(
x
)
[
0
,
π
]
extreme f(x)=0.028e^{-x/2}
extreme
f
(
x
)
=
0
.
0
2
8
e
−
x
2
extreme f(x,y)=x^2+y^3+xy-3x-4y+5
extreme
f
(
x
,
y
)
=
x
2
+
y
3
+
xy
−
3
x
−
4
y
+
5
extreme (1-x^3)/(x^2-4)
extreme
1
−
x
3
x
2
−
4
extreme y=4x^3-x
extreme
y
=
4
x
3
−
x
extreme (x/4)^4-4/3 x^3+1/2 x^2+6x+2
extreme
(
x
4
)
4
−
4
3
x
3
+
1
2
x
2
+
6
x
+
2
extreme 1/3 x^3-4x^2+12x+200
extreme
1
3
x
3
−
4
x
2
+
1
2
x
+
2
0
0
extreme f(x,y)= 1/2 (x-2)^2+(y-1)^2
extreme
f
(
x
,
y
)
=
1
2
(
x
−
2
)
2
+
(
y
−
1
)
2
extreme f(x)=g(t)=6t^4-8t^3+5
extreme
f
(
x
)
=
g
(
t
)
=
6
t
4
−
8
t
3
+
5
extreme f(x)=-(x^2)/8+(y^2)/(78.13)+8
extreme
f
(
x
)
=
−
x
2
8
+
y
2
7
8
.
1
3
+
8
extreme f(x)=-(x-4)^2*(x+4)^2
extreme
f
(
x
)
=
−
(
x
−
4
)
2
·
(
x
+
4
)
2
extreme f(x,y)=x^2+y^2-2x+10y-15
extreme
f
(
x
,
y
)
=
x
2
+
y
2
−
2
x
+
1
0
y
−
1
5
extreme f(x)=-x^3-x^2+5x-4
extreme
f
(
x
)
=
−
x
3
−
x
2
+
5
x
−
4
extreme f(x)=-x^3-x^2+5x-5
extreme
f
(
x
)
=
−
x
3
−
x
2
+
5
x
−
5
extreme f(x)=-x^3-x^2+5x-3
extreme
f
(
x
)
=
−
x
3
−
x
2
+
5
x
−
3
extreme f(x)=4x^3-440x^2+10500x
extreme
f
(
x
)
=
4
x
3
−
4
4
0
x
2
+
1
0
5
0
0
x
extreme f(x)=4+15x+6x^2-x^3
extreme
f
(
x
)
=
4
+
1
5
x
+
6
x
2
−
x
3
extreme g(x,y)=4x+9y
extreme
g
(
x
,
y
)
=
4
x
+
9
y
extreme f(x,y)=2x^2+3xy-3y^2+5x-5y+4
extreme
f
(
x
,
y
)
=
2
x
2
+
3
xy
−
3
y
2
+
5
x
−
5
y
+
4
extreme f(x)=2x-6sin(x)
extreme
f
(
x
)
=
2
x
−
6
sin
(
x
)
extreme f(x,y)=2x^3-6xy+y^2+500
extreme
f
(
x
,
y
)
=
2
x
3
−
6
xy
+
y
2
+
5
0
0
extreme f(x)=4xe^{-x},0<= x<= 2
extreme
f
(
x
)
=
4
xe
−
x
,
0
≤
x
≤
2
extreme f(x)=x^5-3x^4+2
extreme
f
(
x
)
=
x
5
−
3
x
4
+
2
extreme f(x)=-x^2-7y^2+9x-6y+2
extreme
f
(
x
)
=
−
x
2
−
7
y
2
+
9
x
−
6
y
+
2
extreme (3x)/(sqrt(x-8))
extreme
3
x
√
x
−
8
extreme 2x^3-1
extreme
2
x
3
−
1
extreme 2x^2+20x-6
extreme
2
x
2
+
2
0
x
−
6
extreme x^{2/5}
extreme
x
2
5
extreme f(x,y)=3x^4-x^2+3y^2
extreme
f
(
x
,
y
)
=
3
x
4
−
x
2
+
3
y
2
extreme f(x)=x^2-4xy+y^2+18y+3
extreme
f
(
x
)
=
x
2
−
4
xy
+
y
2
+
1
8
y
+
3
extreme y=x^3-15x^2+48x+300
extreme
y
=
x
3
−
1
5
x
2
+
4
8
x
+
3
0
0
extreme f(x)=y(x-5)
extreme
f
(
x
)
=
y
(
x
−
5
)
extreme 2x^2-16x+26
extreme
2
x
2
−
1
6
x
+
2
6
extreme f(x)=Y(x)=x^2-5x+6
extreme
f
(
x
)
=
Y
(
x
)
=
x
2
−
5
x
+
6
extreme f(x)=-12x^2+100
extreme
f
(
x
)
=
−
1
2
x
2
+
1
0
0
extreme f(x)=2(x-1)(x-2)(x+3)
extreme
f
(
x
)
=
2
(
x
−
1
)
(
x
−
2
)
(
x
+
3
)
extreme f(x,y)=x^2+16y^2
extreme
f
(
x
,
y
)
=
x
2
+
1
6
y
2
extreme f(x)=x^{2/3 (x-3)}
extreme
f
(
x
)
=
x
2
3
(
x
−
3
)
extreme ((pi+4)x^2-640x+25600)/pi
extreme
(
π
+
4
)
x
2
−
6
4
0
x
+
2
5
6
0
0
π
extreme f(x)=x(22-x)
extreme
f
(
x
)
=
x
(
2
2
−
x
)
y(C,t)=C_{2}e^{-6t}
y
(
C
,
t
)
=
C
2
e
−
6
t
extreme f(x)=x^2-20x+104
extreme
f
(
x
)
=
x
2
−
2
0
x
+
1
0
4
extreme f(x)=e^{x^2+5y^2+12}
extreme
f
(
x
)
=
e
x
2
+
5
y
2
+
1
2
extreme f(x,y)=ln(4-x^2-y^2)-1/(1-x^2)
extreme
f
(
x
,
y
)
=
ln
(
4
−
x
2
−
y
2
)
−
1
1
−
x
2
extreme y=0.16te^{-0.6t}
extreme
y
=
0
.
1
6
te
−
0
.
6
t
extreme f(x)=-1/x ,-2<= x<=-1
extreme
f
(
x
)
=
−
1
x
,
−
2
≤
x
≤
−
1
extreme x^6-10x^5-400x^4+2500x^3
extreme
x
6
−
1
0
x
5
−
4
0
0
x
4
+
2
5
0
0
x
3
extreme 13x^2-273x+10840
extreme
1
3
x
2
−
2
7
3
x
+
1
0
8
4
0
extreme 2cos((2pit)/3)
extreme
2
cos
(
2
π
t
3
)
extreme x^3-12x+16
extreme
x
3
−
1
2
x
+
1
6
extreme x^3-12x+12
extreme
x
3
−
1
2
x
+
1
2
extreme f(x,y)=x^2+5xy+y^2-2x+4y+5
extreme
f
(
x
,
y
)
=
x
2
+
5
xy
+
y
2
−
2
x
+
4
y
+
5
extreme f(x,y)=9xy+(1000)/y+(1000)/x
extreme
f
(
x
,
y
)
=
9
xy
+
1
0
0
0
y
+
1
0
0
0
x
extreme f(x)=-2x+6x^{2/3},-8<= x<= 4.5
extreme
f
(
x
)
=
−
2
x
+
6
x
2
3
,
−
8
≤
x
≤
4
.
5
extreme f(x)=5(x^2+4)^2(x-4)^3
extreme
f
(
x
)
=
5
(
x
2
+
4
)
2
(
x
−
4
)
3
extreme f(x)=4xe^{-2x}
extreme
f
(
x
)
=
4
xe
−
2
x
extreme f(x)=4x^3-39x^2+90x-6
extreme
f
(
x
)
=
4
x
3
−
3
9
x
2
+
9
0
x
−
6
extreme f(x)=2x^5ln(x),(0,10)
extreme
f
(
x
)
=
2
x
5
ln
(
x
)
,
(
0
,
1
0
)
extreme f(x)=(2x-7)/x
extreme
f
(
x
)
=
2
x
−
7
x
extreme p(x)=9x^4+9x^2-18
extreme
p
(
x
)
=
9
x
4
+
9
x
2
−
1
8
extreme f(x)=2x^3+6x^2-48x+6[4.6]
extreme
f
(
x
)
=
2
x
3
+
6
x
2
−
4
8
x
+
6
[
4
.
6
]
extreme f(x)=3sin(x),-pi<= x<= 2pi
extreme
f
(
x
)
=
3
sin
(
x
)
,
−
π
≤
x
≤
2
π
extreme f(x,y)=x^2+10xy+y^2
extreme
f
(
x
,
y
)
=
x
2
+
1
0
xy
+
y
2
extreme f(x)=x^3-9/2 x^2-54x+12
extreme
f
(
x
)
=
x
3
−
9
2
x
2
−
5
4
x
+
1
2
extreme y=x^2-3x-70
extreme
y
=
x
2
−
3
x
−
7
0
extreme f(x)=(x^2)/((x^2+3))
extreme
f
(
x
)
=
x
2
(
x
2
+
3
)
extreme-x^3+3x^2+9
extreme
−
x
3
+
3
x
2
+
9
extreme f(x)=x^2+y^2+6x-12y-9
extreme
f
(
x
)
=
x
2
+
y
2
+
6
x
−
1
2
y
−
9
extreme f(x)=2xe^x-4x^3
extreme
f
(
x
)
=
2
xe
x
−
4
x
3
extreme f(x)=(x^2e^{3x})
extreme
f
(
x
)
=
(
x
2
e
3
x
)
extreme f(x)=18500(0.25-r^2)
extreme
f
(
x
)
=
1
8
5
0
0
(
0
.
2
5
−
r
2
)
extreme f(x)=-x^2+8x-15,3<= x<= 5
extreme
f
(
x
)
=
−
x
2
+
8
x
−
1
5
,
3
≤
x
≤
5
extreme f(x)=-2x^2-2y^2+20x+16y-4
extreme
f
(
x
)
=
−
2
x
2
−
2
y
2
+
2
0
x
+
1
6
y
−
4
extreme f(x)=x^3+3x^2-45x
extreme
f
(
x
)
=
x
3
+
3
x
2
−
4
5
x
extreme f(x)= 4/(x-2),2<x<= 6
extreme
f
(
x
)
=
4
x
−
2
,
2
<
x
≤
6
extreme f(x)=3x+2y+7
extreme
f
(
x
)
=
3
x
+
2
y
+
7
extreme f(x)=2x^3+6x^2-48x
extreme
f
(
x
)
=
2
x
3
+
6
x
2
−
4
8
x
extreme f(x)= 1/2 p(x,y)-cy=0
extreme
f
(
x
)
=
1
2
p
(
x
,
y
)
−
cy
=
0
extreme f(x)=3x+2y-1
extreme
f
(
x
)
=
3
x
+
2
y
−
1
extreme y= 1/2 x+1/2 z-3/2
extreme
y
=
1
2
x
+
1
2
z
−
3
2
1
..
825
826
827
828
829
..
839
