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Problemas populares Functions & Graphing
extreme f(x)=-1/10 x^3+9x^2+500
extreme
f
(
x
)
=
−
1
1
0
x
3
+
9
x
2
+
5
0
0
extreme f(x)=x(x-2)e^{-3x}
extreme
f
(
x
)
=
x
(
x
−
2
)
e
−
3
x
extreme f(x,y)=x^3-4xy+y^2
extreme
f
(
x
,
y
)
=
x
3
−
4
xy
+
y
2
extreme f(t)=-4t^2+208t+120
extreme
f
(
t
)
=
−
4
t
2
+
2
0
8
t
+
1
2
0
extreme f(x)=2x^3-2x^4
extreme
f
(
x
)
=
2
x
3
−
2
x
4
extreme f(x)=sqrt(x)((x^2)/5-4)
extreme
f
(
x
)
=
√
x
(
x
2
5
−
4
)
extreme-x^2-6x-4
extreme
−
x
2
−
6
x
−
4
extreme f(x)= x/(x-9),11<= x<= 13
extreme
f
(
x
)
=
x
x
−
9
,
1
1
≤
x
≤
1
3
extreme f(x)=xsqrt(1-x)
extreme
f
(
x
)
=
x
√
1
−
x
extreme f(x)=(x+1)/(2x+x+1)
extreme
f
(
x
)
=
x
+
1
2
x
+
x
+
1
extreme f(x,y)=7x^2+8xy+9y^2+9xy^2+5x^2y
extreme
f
(
x
,
y
)
=
7
x
2
+
8
xy
+
9
y
2
+
9
xy
2
+
5
x
2
y
extreme f(x)=(1/(x^3-2x^2)),1<= x<= 7/5
extreme
f
(
x
)
=
(
1
x
3
−
2
x
2
)
,
1
≤
x
≤
7
5
extreme e^{-(x^2+y^2)}(x^2+2y^2)
extreme
e
−
(
x
2
+
y
2
)
(
x
2
+
2
y
2
)
extreme 1/3 x^3+2x+4x+1
extreme
1
3
x
3
+
2
x
+
4
x
+
1
extreme y=-x^3+3x^2-5
extreme
y
=
−
x
3
+
3
x
2
−
5
extreme f(x)=x^3-ax^2
extreme
f
(
x
)
=
x
3
−
ax
2
extreme f(x)=3x^2+4y^3-12xy+37
extreme
f
(
x
)
=
3
x
2
+
4
y
3
−
1
2
xy
+
3
7
extreme f(x)=15x+18y-2x^2+2xy+3y^2
extreme
f
(
x
)
=
1
5
x
+
1
8
y
−
2
x
2
+
2
xy
+
3
y
2
extreme f(x,y)=x^3-12x+y^2+6y+14
extreme
f
(
x
,
y
)
=
x
3
−
1
2
x
+
y
2
+
6
y
+
1
4
extreme f(x)=x^{-7}ln(x)
extreme
f
(
x
)
=
x
−
7
ln
(
x
)
extreme y=(5x^2)/((x-4)^2)
extreme
y
=
5
x
2
(
x
−
4
)
2
extreme f(x)=x(x-10)^2
extreme
f
(
x
)
=
x
(
x
−
1
0
)
2
extreme 5x^4-x^5+4
extreme
5
x
4
−
x
5
+
4
extreme f(x)=x^2+2y+y^2-8
extreme
f
(
x
)
=
x
2
+
2
y
+
y
2
−
8
extreme f(x)=xsqrt(3x-x^2)
extreme
f
(
x
)
=
x
√
3
x
−
x
2
extreme y=cos(3x)-2
extreme
y
=
cos
(
3
x
)
−
2
extreme f(x)=-3x^3+4x^2,-2<= x<= 2
extreme
f
(
x
)
=
−
3
x
3
+
4
x
2
,
−
2
≤
x
≤
2
extreme (x^2+36)/(x^2)
extreme
x
2
+
3
6
x
2
extreme f(x,y)=xe^y-x^2-e^y
extreme
f
(
x
,
y
)
=
xe
y
−
x
2
−
e
y
extreme f(x)=((5+x))/((3-x))
extreme
f
(
x
)
=
(
5
+
x
)
(
3
−
x
)
extreme f(x)=-1/2 x^4+16x^2-15
extreme
f
(
x
)
=
−
1
2
x
4
+
1
6
x
2
−
1
5
extreme f(x)=10x^{3/4}e^{-x}
extreme
f
(
x
)
=
1
0
x
3
4
e
−
x
extreme f(x)=2x-4y+6z=56
extreme
f
(
x
)
=
2
x
−
4
y
+
6
z
=
5
6
extreme y=1-x^2-z^2
extreme
y
=
1
−
x
2
−
z
2
extreme 20x^2-200x+3
extreme
2
0
x
2
−
2
0
0
x
+
3
extreme y=(x^4)/(1+x^3)
extreme
y
=
x
4
1
+
x
3
extreme (200)/(x+4+2x)
extreme
2
0
0
x
+
4
+
2
x
extreme f(x)=-0.3t^2+2.4t+98.2
extreme
f
(
x
)
=
−
0
.
3
t
2
+
2
.
4
t
+
9
8
.
2
extreme f(x)=((x^2-8))/((x-3))
extreme
f
(
x
)
=
(
x
2
−
8
)
(
x
−
3
)
extreme f(x)=4.3x-0.01x^2-8
extreme
f
(
x
)
=
4
.
3
x
−
0
.
0
1
x
2
−
8
extreme f(x)=x^5-3125x,-7<= x<= 7
extreme
f
(
x
)
=
x
5
−
3
1
2
5
x
,
−
7
≤
x
≤
7
extreme (-2ln(x)-2)/(x^2)
extreme
−
2
ln
(
x
)
−
2
x
2
extreme f(x)=x^2+(200)/x ,[0,infinity ]
extreme
f
(
x
)
=
x
2
+
2
0
0
x
,
[
0
,
∞
]
extreme 3x^2-6x-9,0<= x<= 4
extreme
3
x
2
−
6
x
−
9
,
0
≤
x
≤
4
extreme ((1-x^2)^3)/(x^3)
extreme
(
1
−
x
2
)
3
x
3
extreme 121000x-1000/28 x^2
extreme
1
2
1
0
0
0
x
−
1
0
0
0
2
8
x
2
extreme f(x)=-8/3 x^3+4x^2+48x+9
extreme
f
(
x
)
=
−
8
3
x
3
+
4
x
2
+
4
8
x
+
9
extreme f(x)=1400x-2x^2
extreme
f
(
x
)
=
1
4
0
0
x
−
2
x
2
extreme 100x+y
extreme
1
0
0
x
+
y
extreme 1/(x^2-3*x+3)
extreme
1
x
2
−
3
·
x
+
3
d/(db)((A+b)c)
d
db
(
(
A
+
b
)
c
)
extreme x^4+12x^3-12x+11
extreme
x
4
+
1
2
x
3
−
1
2
x
+
1
1
extreme x^2-130x+4000
extreme
x
2
−
1
3
0
x
+
4
0
0
0
extreme y=3xln(x)
extreme
y
=
3
x
ln
(
x
)
extreme f(x)=(100000)/x+75000+1000x
extreme
f
(
x
)
=
1
0
0
0
0
0
x
+
7
5
0
0
0
+
1
0
0
0
x
extreme y=e^x-3e^{-x}-4x
extreme
y
=
e
x
−
3
e
−
x
−
4
x
extreme f(x)=-6x^3-54x^2-144x-90
extreme
f
(
x
)
=
−
6
x
3
−
5
4
x
2
−
1
4
4
x
−
9
0
extreme f(x)=((x+y-xy)/(x-y+xy))
extreme
f
(
x
)
=
(
x
+
y
−
xy
x
−
y
+
xy
)
extreme 3(x+2)(x-10)
extreme
3
(
x
+
2
)
(
x
−
1
0
)
extreme f(x,y)=1-x^2-x-3y^2+y
extreme
f
(
x
,
y
)
=
1
−
x
2
−
x
−
3
y
2
+
y
extreme f(x)=1.4te^{-2.9t}
extreme
f
(
x
)
=
1
.
4
te
−
2
.
9
t
extreme f(x)=2x^3-9x^2-24x+9,-2<= x<= 5
extreme
f
(
x
)
=
2
x
3
−
9
x
2
−
2
4
x
+
9
,
−
2
≤
x
≤
5
extreme f(x)=(9x)/(sqrt(x-4))
extreme
f
(
x
)
=
9
x
√
x
−
4
extreme f(x)=xe^{(-x^2)/(32)}
extreme
f
(
x
)
=
xe
−
x
2
3
2
extreme 2400=30x*10y
extreme
2
4
0
0
=
3
0
x
·
1
0
y
extreme f(-1.2)=3p^3+4q^3-2p^2q-4p-5q
extreme
f
(
−
1
.
2
)
=
3
p
3
+
4
q
3
−
2
p
2
q
−
4
p
−
5
q
extreme f(x)=8ex-y-5xy+6y^2
extreme
f
(
x
)
=
8
ex
−
y
−
5
xy
+
6
y
2
extreme f(x)=-1/50 x^2+1.85x-8.5
extreme
f
(
x
)
=
−
1
5
0
x
2
+
1
.
8
5
x
−
8
.
5
extreme f(x)=2x^3-3x^2-6x
extreme
f
(
x
)
=
2
x
3
−
3
x
2
−
6
x
extreme f(x,y)=x^2-2*x+2*y^2-4*y
extreme
f
(
x
,
y
)
=
x
2
−
2
·
x
+
2
·
y
2
−
4
·
y
extreme f(x)=0.00397t^2-0.593t+33.718
extreme
f
(
x
)
=
0
.
0
0
3
9
7
t
2
−
0
.
5
9
3
t
+
3
3
.
7
1
8
extreme f(x)=f(x)=ex-x,-4<= x<= 2
extreme
f
(
x
)
=
f
(
x
)
=
ex
−
x
,
−
4
≤
x
≤
2
extreme f(x)=4x^2-48x+190
extreme
f
(
x
)
=
4
x
2
−
4
8
x
+
1
9
0
extreme f(x,y)=e^{9x^2+6y^2+1}
extreme
f
(
x
,
y
)
=
e
9
x
2
+
6
y
2
+
1
extreme f(x)=((sqrt(3)-cos(θ))/(sin(θ)))
extreme
f
(
x
)
=
(
√
3
−
cos
(
θ
)
sin
(
θ
)
)
extreme f(xy)=-x^3-y^2+3x-2y
extreme
f
(
xy
)
=
−
x
3
−
y
2
+
3
x
−
2
y
extreme 9/8 y 3/4
extreme
9
8
y
3
4
extreme f(x)=-2x^3+27x^2-108x,2<= x<= 7
extreme
f
(
x
)
=
−
2
x
3
+
2
7
x
2
−
1
0
8
x
,
2
≤
x
≤
7
extreme f(x,y)=sqrt(64-4x^2-y^2)
extreme
f
(
x
,
y
)
=
√
6
4
−
4
x
2
−
y
2
extreme f(x)=x^2+3y^2-2x+6y
extreme
f
(
x
)
=
x
2
+
3
y
2
−
2
x
+
6
y
extreme (-8x+75)/(9x-61)
extreme
−
8
x
+
7
5
9
x
−
6
1
extreme 4+(7+5x)^{2/5}
extreme
4
+
(
7
+
5
x
)
2
5
extreme 2.8x
extreme
2
.
8
x
extreme f(x)=-(x^2-50)/(x^2-25)
extreme
f
(
x
)
=
−
x
2
−
5
0
x
2
−
2
5
extreme f(x)=(1/8)e^{-x}
extreme
f
(
x
)
=
(
1
8
)
e
−
x
extreme U(x,y)=-x^2-y^2+22x+18y-102
extreme
U
(
x
,
y
)
=
−
x
2
−
y
2
+
2
2
x
+
1
8
y
−
1
0
2
extreme f(x)=-2x+7
extreme
f
(
x
)
=
−
2
x
+
7
extreme f(t)=7e^{-7t}u(t)
extreme
f
(
t
)
=
7
e
−
7
t
u
(
t
)
extreme y=(x-(200)/x)
extreme
y
=
(
x
−
2
0
0
x
)
extreme f(x)=3x^2+4y^2
extreme
f
(
x
)
=
3
x
2
+
4
y
2
extreme f(y)=4x^3y+3x^2+y^2+4-y
extreme
f
(
y
)
=
4
x
3
y
+
3
x
2
+
y
2
+
4
−
y
extreme-2ln(x-6)+2
extreme
−
2
ln
(
x
−
6
)
+
2
extreme y=1+40x^3-3x^5
extreme
y
=
1
+
4
0
x
3
−
3
x
5
extreme f(x)=(4,2x-10)=(x-1,y+2)
extreme
f
(
x
)
=
(
4
,
2
x
−
1
0
)
=
(
x
−
1
,
y
+
2
)
extreme f(x)=80x^{1/4}-x^{5/4}
extreme
f
(
x
)
=
8
0
x
1
4
−
x
5
4
extreme f(x)=120t-16t^2
extreme
f
(
x
)
=
1
2
0
t
−
1
6
t
2
extreme x^2-y^2+1
extreme
x
2
−
y
2
+
1
extreme f(x,y)=9x^2-2x^3+3y^2+6xy
extreme
f
(
x
,
y
)
=
9
x
2
−
2
x
3
+
3
y
2
+
6
xy
extreme f(x)=395x^2-2370x^3,0<= x<= 0.16
extreme
f
(
x
)
=
3
9
5
x
2
−
2
3
7
0
x
3
,
0
≤
x
≤
0
.
1
6
extreme C(t)= t/(4t^2+11)
extreme
C
(
t
)
=
t
4
t
2
+
1
1
1
..
834
835
836
837
838
839