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统计数据
常见 Functions & Graphing 问题
extreme f(x)=-13t^3+18t^2+37t+6
extreme
f
(
x
)
=
−
1
3
t
3
+
1
8
t
2
+
3
7
t
+
6
extreme y=(6x)/(x^2-9)
extreme
y
=
6
x
x
2
−
9
extreme f(x)=(2x-3)/(x^2-3x)se
extreme
f
(
x
)
=
2
x
−
3
x
2
−
3
x
se
extreme f(x,y)=x+y/(-x+3y)
extreme
f
(
x
,
y
)
=
x
+
y
−
x
+
3
y
extreme f(x,y)=9x^2y-9xy^3+9y^3
extreme
f
(
x
,
y
)
=
9
x
2
y
−
9
xy
3
+
9
y
3
extreme f(x,y)=3x^2-5xy+6y^2+x-y
extreme
f
(
x
,
y
)
=
3
x
2
−
5
xy
+
6
y
2
+
x
−
y
extreme f(x)=((x-1)^2+(y+2)^2)/2
extreme
f
(
x
)
=
(
x
−
1
)
2
+
(
y
+
2
)
2
2
extreme f(x)=-7(2x^3-125/32)^2+1
extreme
f
(
x
)
=
−
7
(
2
x
3
−
1
2
5
3
2
)
2
+
1
extreme f(x,y)= 1/((x+y))
extreme
f
(
x
,
y
)
=
1
(
x
+
y
)
extreme f(x)= 1/(sqrt(1-x^2))
extreme
f
(
x
)
=
1
√
1
−
x
2
extreme f(x)=(x^2)/(x+1),-2<= x<= 2
extreme
f
(
x
)
=
x
2
x
+
1
,
−
2
≤
x
≤
2
extreme f(x)=(-x-8)/(10x^2-40x+27)
extreme
f
(
x
)
=
−
x
−
8
1
0
x
2
−
4
0
x
+
2
7
extreme f(x,y)=4x^2+9y^2-2x-18xy^2
extreme
f
(
x
,
y
)
=
4
x
2
+
9
y
2
−
2
x
−
1
8
xy
2
extreme f(x)=(x^3)/3-10x^2+96x+100
extreme
f
(
x
)
=
x
3
3
−
1
0
x
2
+
9
6
x
+
1
0
0
extreme f(x)=-x^3+9x^2+120x-200,x>= 5
extreme
f
(
x
)
=
−
x
3
+
9
x
2
+
1
2
0
x
−
2
0
0
,
x
≥
5
extreme f(x)=x^{3/4}-2x^{3/4}
extreme
f
(
x
)
=
x
3
4
−
2
x
3
4
extreme f(x)=x^{2/3}(x-6)
extreme
f
(
x
)
=
x
2
3
(
x
−
6
)
extreme (16a^4+16a)/(a^2+1-a)
extreme
1
6
a
4
+
1
6
a
a
2
+
1
−
a
extreme f(x)=-2x^2-5xy-6y^2+32x+63y+9
extreme
f
(
x
)
=
−
2
x
2
−
5
xy
−
6
y
2
+
3
2
x
+
6
3
y
+
9
extreme f(x)=4sin(x)-3cos(x)
extreme
f
(
x
)
=
4
sin
(
x
)
−
3
cos
(
x
)
extreme y=((Ix+2I-1)/(2x+3))e^{2x}
extreme
y
=
(
Ix
+
2
I
−
1
2
x
+
3
)
e
2
x
extreme x+3/2 x^{2/3}
extreme
x
+
3
2
x
2
3
extreme+sqrt(|x^2-3x+2|)
extreme
+
√
|
x
2
−
3
x
+
2
|
extreme f(x)=(-5x^2+10xy-20x-7y^2+240y-5300)
extreme
f
(
x
)
=
(
−
5
x
2
+
1
0
xy
−
2
0
x
−
7
y
2
+
2
4
0
y
−
5
3
0
0
)
extreme f(x,y)=3xy+6y-5x
extreme
f
(
x
,
y
)
=
3
xy
+
6
y
−
5
x
extreme y=In|1-x|
extreme
y
=
In
|
1
−
x
|
extreme f(x)=-2x^2+3xy-9x
extreme
f
(
x
)
=
−
2
x
2
+
3
xy
−
9
x
extreme f(x)=sqrt(36-t^2)
extreme
f
(
x
)
=
√
3
6
−
t
2
extreme-x^3+2x^2+4x+7
extreme
−
x
3
+
2
x
2
+
4
x
+
7
extreme f(x)=2x^3-39x^2+180x+1
extreme
f
(
x
)
=
2
x
3
−
3
9
x
2
+
1
8
0
x
+
1
extreme y=6x-12
extreme
y
=
6
x
−
1
2
extreme 1353.0186700000000…
extreme
1
3
5
3
.
0
1
8
6
7
0
0
0
0
0
0
0
0
…
extreme f(x)= 1/8 (x+4)^2(6-x)
extreme
f
(
x
)
=
1
8
(
x
+
4
)
2
(
6
−
x
)
extreme f(x)=ln((4x^2)/(ln(x)))
extreme
f
(
x
)
=
ln
(
4
x
2
ln
(
x
)
)
extreme f(x)=-x^3+3x^2+9x-27
extreme
f
(
x
)
=
−
x
3
+
3
x
2
+
9
x
−
2
7
extreme f(x)=2x^3+3x^2-2x-3
extreme
f
(
x
)
=
2
x
3
+
3
x
2
−
2
x
−
3
extreme ((x+1))/(x^2-2x-3)
extreme
(
x
+
1
)
x
2
−
2
x
−
3
extreme f(x)=(x^2+2)/(x^2-9)
extreme
f
(
x
)
=
x
2
+
2
x
2
−
9
extreme f(x)=(x^3)/3-5x^2-50x+1
extreme
f
(
x
)
=
x
3
3
−
5
x
2
−
5
0
x
+
1
extreme 4/x+x^4
extreme
4
x
+
x
4
extreme f(x,y)=9x^2-4y^2
extreme
f
(
x
,
y
)
=
9
x
2
−
4
y
2
extreme f(x)=120x-x^2-(950+14x)
extreme
f
(
x
)
=
1
2
0
x
−
x
2
−
(
9
5
0
+
1
4
x
)
extreme f(x)=(x^3)/3-3x^2+8x-2
extreme
f
(
x
)
=
x
3
3
−
3
x
2
+
8
x
−
2
extreme f(x)=(x^3)/3-3x^2+8x-4
extreme
f
(
x
)
=
x
3
3
−
3
x
2
+
8
x
−
4
extreme f(x)=x^4+4/(3x^3)
extreme
f
(
x
)
=
x
4
+
4
3
x
3
extreme f(x)=3x^2-18x+5
extreme
f
(
x
)
=
3
x
2
−
1
8
x
+
5
extreme f(x)= 7/4 x^2-21/2 x-43/3
extreme
f
(
x
)
=
7
4
x
2
−
2
1
2
x
−
4
3
3
extreme x*e^{-x^2+1}
extreme
x
·
e
−
x
2
+
1
extreme 330x^2-1320x^3
extreme
3
3
0
x
2
−
1
3
2
0
x
3
extreme f(x)=(|x-3|)/(x^2-9)
extreme
f
(
x
)
=
|
x
−
3
|
x
2
−
9
extreme y=x^4ln(x/(10))
extreme
y
=
x
4
ln
(
x
1
0
)
extreme f(x)=(18)/((x^2-9))
extreme
f
(
x
)
=
1
8
(
x
2
−
9
)
extreme f(x)=x^3-x^2-x+7,-1<= x<= 2
extreme
f
(
x
)
=
x
3
−
x
2
−
x
+
7
,
−
1
≤
x
≤
2
extreme g(t)=8t-t^4
extreme
g
(
t
)
=
8
t
−
t
4
extreme f(x,y)=-4xy(x+y)-9
extreme
f
(
x
,
y
)
=
−
4
xy
(
x
+
y
)
−
9
extreme f(x,y)=ln(10-x^2-y^2)
extreme
f
(
x
,
y
)
=
ln
(
1
0
−
x
2
−
y
2
)
extreme f(x)=(x^2-2x-3)/(x+5),-1<= x<= 3
extreme
f
(
x
)
=
x
2
−
2
x
−
3
x
+
5
,
−
1
≤
x
≤
3
extreme ((-6x+21))/(((x+1)^4))
extreme
(
−
6
x
+
2
1
)
(
(
x
+
1
)
4
)
extreme (-5)/(4x-8)
extreme
−
5
4
x
−
8
extreme f(x)=f(x)=x^3-4x^2-3x+1
extreme
f
(
x
)
=
f
(
x
)
=
x
3
−
4
x
2
−
3
x
+
1
extreme f(x)=x^3+3x^2-189x
extreme
f
(
x
)
=
x
3
+
3
x
2
−
1
8
9
x
extreme f(x)=1-|x-7|
extreme
f
(
x
)
=
1
−
|
x
−
7
|
extreme f(x,y)=(x^2-49)^2+(y^2-9)^2
extreme
f
(
x
,
y
)
=
(
x
2
−
4
9
)
2
+
(
y
2
−
9
)
2
extreme f(x)=12x^2-x^3
extreme
f
(
x
)
=
1
2
x
2
−
x
3
extreme x^3-3x+1,-3/2 <= x<= 3
extreme
x
3
−
3
x
+
1
,
−
3
2
≤
x
≤
3
extreme F(X,Y)=X(X+Y)+X(X+Y)
extreme
F
(
X
,
Y
)
=
X
(
X
+
Y
)
+
X
(
X
+
Y
)
extreme-x^2-3.7x-6.5
extreme
−
x
2
−
3
.
7
x
−
6
.
5
extreme f(x)=-2x^3+33x^2-168x+10
extreme
f
(
x
)
=
−
2
x
3
+
3
3
x
2
−
1
6
8
x
+
1
0
extreme f(x)=4x^3-6x^2-144x+1
extreme
f
(
x
)
=
4
x
3
−
6
x
2
−
1
4
4
x
+
1
extreme f(x,y)=(20480)/x+(20480)/y+5xy
extreme
f
(
x
,
y
)
=
2
0
4
8
0
x
+
2
0
4
8
0
y
+
5
xy
extreme f(x)=2x^3+6x^2-144x+2,-6<= x<= 5
extreme
f
(
x
)
=
2
x
3
+
6
x
2
−
1
4
4
x
+
2
,
−
6
≤
x
≤
5
extreme f(x)=(x^3)/3+x
extreme
f
(
x
)
=
x
3
3
+
x
extreme f(x)=(9sin(x)-9)(2cos(x)sqrt(3))
extreme
f
(
x
)
=
(
9
sin
(
x
)
−
9
)
(
2
cos
(
x
)
√
3
)
extreme f(x)=-x^3-4.5x^2+12x-2
extreme
f
(
x
)
=
−
x
3
−
4
.
5
x
2
+
1
2
x
−
2
extreme x^2y-xy+3y^2
extreme
x
2
y
−
xy
+
3
y
2
extreme 6/(x^2+2)
extreme
6
x
2
+
2
extreme f(x)=2-x^3
extreme
f
(
x
)
=
2
−
x
3
extreme (6x^2-x^4)/9
extreme
6
x
2
−
x
4
9
extreme f(x)= x/(x^2-x+2)
extreme
f
(
x
)
=
x
x
2
−
x
+
2
extreme f(x)=7x-28sqrt(x)
extreme
f
(
x
)
=
7
x
−
2
8
√
x
extreme f(x)=((xy)-λ(6x+y-20))
extreme
f
(
x
)
=
(
(
xy
)
−
λ
(
6
x
+
y
−
2
0
)
)
extreme y=(x+3)/2
extreme
y
=
x
+
3
2
extreme f(x,y)=3x^2-xy+y^2-11x
extreme
f
(
x
,
y
)
=
3
x
2
−
xy
+
y
2
−
1
1
x
extreme f(x,y)=(x-1)^2-(y-1)^2
extreme
f
(
x
,
y
)
=
(
x
−
1
)
2
−
(
y
−
1
)
2
extreme f(x,y)=x^2+y^2+2x-18y
extreme
f
(
x
,
y
)
=
x
2
+
y
2
+
2
x
−
1
8
y
extreme f(x)=161000x-100x^{21}
extreme
f
(
x
)
=
1
6
1
0
0
0
x
−
1
0
0
x
2
1
extreme f(x)=-6x^2e^{-x}-4
extreme
f
(
x
)
=
−
6
x
2
e
−
x
−
4
extreme f(x)=2.2+2.6x-0.8x^2
extreme
f
(
x
)
=
2
.
2
+
2
.
6
x
−
0
.
8
x
2
extreme f(x)=-4x^3+12x^2+36+3
extreme
f
(
x
)
=
−
4
x
3
+
1
2
x
2
+
3
6
+
3
extreme f(x)=3^{2/3}-2x(-1.1)
extreme
f
(
x
)
=
3
2
3
−
2
x
(
−
1
.
1
)
extreme f(x)=-0.001x^2+6x-1900
extreme
f
(
x
)
=
−
0
.
0
0
1
x
2
+
6
x
−
1
9
0
0
extreme h(x)=5(x-1)^{2/3},0<= x<= 2
extreme
h
(
x
)
=
5
(
x
−
1
)
2
3
,
0
≤
x
≤
2
extreme f(x)=-4x^3+6x^2+6
extreme
f
(
x
)
=
−
4
x
3
+
6
x
2
+
6
extreme f(x,y)= 5/2 x^2+xy^2+5y^2
extreme
f
(
x
,
y
)
=
5
2
x
2
+
xy
2
+
5
y
2
extreme f(x)=(\sqrt[3]{6x^2-x^3})
extreme
f
(
x
)
=
(
3
√
6
x
2
−
x
3
)
extreme f(x)=7x^3-7x^2+7
extreme
f
(
x
)
=
7
x
3
−
7
x
2
+
7
extreme y=-(4x)/(x^2+1)
extreme
y
=
−
4
x
x
2
+
1
extreme f(x)=(-2)/3 x^3-6x^2-10x+80
extreme
f
(
x
)
=
−
2
3
x
3
−
6
x
2
−
1
0
x
+
8
0
extreme (4x+5)/(x-7)
extreme
4
x
+
5
x
−
7
extreme g(θ)=4θ-7sin(θ),0<= θ<= pi
extreme
g
(
θ
)
=
4
θ
−
7
sin
(
θ
)
,
0
≤
θ
≤
π
1
..
826
827
828
829
830
..
839
