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Popolari Functions & Graphing Problemi
extreme f(x)=3+5x-5x^2
extreme
f
(
x
)
=
3
+
5
x
−
5
x
2
extreme f(x)=x^{7/9}
extreme
f
(
x
)
=
x
7
9
extreme f(x)=(x^2)/(x^2+192)
extreme
f
(
x
)
=
x
2
x
2
+
1
9
2
extreme f(x)=2x^2+4x-5
extreme
f
(
x
)
=
2
x
2
+
4
x
−
5
extreme f(x,y)=3x^2+y^2-xy-11x
extreme
f
(
x
,
y
)
=
3
x
2
+
y
2
−
xy
−
1
1
x
extreme f(t)=(t)+2u(t)-3e^{-2t}u(t)
extreme
f
(
t
)
=
(
t
)
+
2
u
(
t
)
−
3
e
−
2
t
u
(
t
)
extreme f(x)=(x-6)e^x
extreme
f
(
x
)
=
(
x
−
6
)
e
x
extreme f(x)=(x+14)(x-7)^2
extreme
f
(
x
)
=
(
x
+
1
4
)
(
x
−
7
)
2
extreme f(x)=x^3+2xy^2-5x-4y+20
extreme
f
(
x
)
=
x
3
+
2
xy
2
−
5
x
−
4
y
+
2
0
extreme f(t)=5e^{at}
extreme
f
(
t
)
=
5
e
at
extreme f(x)=Ix-4I
extreme
f
(
x
)
=
Ix
−
4
I
extreme f(x)=x((1/3)x-2)^3+10
extreme
f
(
x
)
=
x
(
(
1
3
)
x
−
2
)
3
+
1
0
extreme f(x)= x/(x^2-x+25),0<= x<= 27
extreme
f
(
x
)
=
x
x
2
−
x
+
2
5
,
0
≤
x
≤
2
7
extreme A-2/(X-2)+1/((X-2)^2)
extreme
A
−
2
X
−
2
+
1
(
X
−
2
)
2
extreme f(x)=x^3-x^2-x+7
extreme
f
(
x
)
=
x
3
−
x
2
−
x
+
7
extreme sin(x)-cos(x)
extreme
sin
(
x
)
−
cos
(
x
)
extreme y=x+e^{-4x}
extreme
y
=
x
+
e
−
4
x
extreme f(x)=\sqrt[3]{(x^2-1)^2}
extreme
f
(
x
)
=
3
√
(
x
2
−
1
)
2
extreme f(x)=8-sqrt(x)
extreme
f
(
x
)
=
8
−
√
x
extreme f(x)=2sin(3x)-5
extreme
f
(
x
)
=
2
sin
(
3
x
)
−
5
extreme (5-x)(x+1)^2
extreme
(
5
−
x
)
(
x
+
1
)
2
extreme f(x,y)=x^2+y-e^{x+y}
extreme
f
(
x
,
y
)
=
x
2
+
y
−
e
x
+
y
extreme-x
extreme
−
x
extreme f(x)=(3x)/(x+2)
extreme
f
(
x
)
=
3
x
x
+
2
extreme f(x)=6x+4y+2z=24
extreme
f
(
x
)
=
6
x
+
4
y
+
2
z
=
2
4
extreme f(x,y)=(16)/x+6/y+x^2-3y^2
extreme
f
(
x
,
y
)
=
1
6
x
+
6
y
+
x
2
−
3
y
2
extreme f(x)=(x^2-14x+49)/(x-9)
extreme
f
(
x
)
=
x
2
−
1
4
x
+
4
9
x
−
9
extreme f(x)=xy^2-8xy
extreme
f
(
x
)
=
xy
2
−
8
xy
extreme (5-x)/(2x+6)
extreme
5
−
x
2
x
+
6
extreme f(x,y)=(xy)/(sqrt(5x^2+2y^2+2xy+1))
extreme
f
(
x
,
y
)
=
xy
√
5
x
2
+
2
y
2
+
2
xy
+
1
extreme (3x)/(x^2-9)
extreme
3
x
x
2
−
9
extreme f(x,y)=6x^2-8y^2
extreme
f
(
x
,
y
)
=
6
x
2
−
8
y
2
extreme f(x)=-x^2-4x-3
extreme
f
(
x
)
=
−
x
2
−
4
x
−
3
extreme f(x)=4x^3-2x^2
extreme
f
(
x
)
=
4
x
3
−
2
x
2
extreme f(x)=(1-cos(x))^2
extreme
f
(
x
)
=
(
1
−
cos
(
x
)
)
2
extreme f(x,y)=sqrt(400-49x^2-81y^2)
extreme
f
(
x
,
y
)
=
√
4
0
0
−
4
9
x
2
−
8
1
y
2
extreme f(t)=3t+1/t
extreme
f
(
t
)
=
3
t
+
1
t
extreme f(x)= 9/2 x^2-ln(x)
extreme
f
(
x
)
=
9
2
x
2
−
ln
(
x
)
extreme f(x)=3x+1
extreme
f
(
x
)
=
3
x
+
1
extreme f(x)=(5(x-6)^2)/(x-1)
extreme
f
(
x
)
=
5
(
x
−
6
)
2
x
−
1
extreme f(x)=x^2+4xy+y^2
extreme
f
(
x
)
=
x
2
+
4
xy
+
y
2
extreme f(x)=x^3-x^2-8x+12
extreme
f
(
x
)
=
x
3
−
x
2
−
8
x
+
1
2
extreme f(x,y)=x^2+y^2-4x-2y+4
extreme
f
(
x
,
y
)
=
x
2
+
y
2
−
4
x
−
2
y
+
4
extreme f(x)=5x^5-3x^2+x-10,-5<= x<= 6
extreme
f
(
x
)
=
5
x
5
−
3
x
2
+
x
−
1
0
,
−
5
≤
x
≤
6
extreme f(x,y)=32y^2+x^2-x^2y
extreme
f
(
x
,
y
)
=
3
2
y
2
+
x
2
−
x
2
y
extreme f(x,y)=3x^2+6xy+7y^2-2x+4y
extreme
f
(
x
,
y
)
=
3
x
2
+
6
xy
+
7
y
2
−
2
x
+
4
y
extreme f(x)=x^{1/7}-x^{-6/7}
extreme
f
(
x
)
=
x
1
7
−
x
−
6
7
extreme f(x)=(x-2)^3(3x+4)^2
extreme
f
(
x
)
=
(
x
−
2
)
3
(
3
x
+
4
)
2
extreme f(x)=x^{1/3}(x^2-9),-4<= x<= 2
extreme
f
(
x
)
=
x
1
3
(
x
2
−
9
)
,
−
4
≤
x
≤
2
extreme f(x)=(2x)/(x^2-25)
extreme
f
(
x
)
=
2
x
x
2
−
2
5
extreme f(x)=x^4-4x^2+10
extreme
f
(
x
)
=
x
4
−
4
x
2
+
1
0
extreme f(x,y)=x^2-xy+y^2+y
extreme
f
(
x
,
y
)
=
x
2
−
xy
+
y
2
+
y
extreme f(x,y)=x^2-2y^2-5x-4y+xy
extreme
f
(
x
,
y
)
=
x
2
−
2
y
2
−
5
x
−
4
y
+
xy
extreme f(x)=x^2+4
extreme
f
(
x
)
=
x
2
+
4
extreme f(x)=x^2-7
extreme
f
(
x
)
=
x
2
−
7
extreme f(x)= 1/3 x^3-x+9
extreme
f
(
x
)
=
1
3
x
3
−
x
+
9
extreme f(x)=-x^3-15x^2
extreme
f
(
x
)
=
−
x
3
−
1
5
x
2
extreme f(x)=17+4x-x^2
extreme
f
(
x
)
=
1
7
+
4
x
−
x
2
extreme y=4x^2+z^2
extreme
y
=
4
x
2
+
z
2
extreme f(x,y)=-4x^2+3y^2
extreme
f
(
x
,
y
)
=
−
4
x
2
+
3
y
2
extreme f(x)=x^3+12x^2
extreme
f
(
x
)
=
x
3
+
1
2
x
2
extreme f(xy)=2x^3+y^3+3x^2-3y-12x-4
extreme
f
(
xy
)
=
2
x
3
+
y
3
+
3
x
2
−
3
y
−
1
2
x
−
4
extreme f(x)=x^2-8x+13
extreme
f
(
x
)
=
x
2
−
8
x
+
1
3
extreme f(x)=x^{2/3}-4x^{1/3}
extreme
f
(
x
)
=
x
2
3
−
4
x
1
3
extreme f(x)=x^2+9x-9
extreme
f
(
x
)
=
x
2
+
9
x
−
9
extreme f(x,y)=x^2+y^2-4x+17x-10y+2021
extreme
f
(
x
,
y
)
=
x
2
+
y
2
−
4
x
+
1
7
x
−
1
0
y
+
2
0
2
1
extreme f(x)=18x^2-32y^2-36x-128y-110
extreme
f
(
x
)
=
1
8
x
2
−
3
2
y
2
−
3
6
x
−
1
2
8
y
−
1
1
0
extreme f(x,y)=-3xy+x^3+y^3
extreme
f
(
x
,
y
)
=
−
3
xy
+
x
3
+
y
3
extreme f(x)=sqrt(16-x^2),-4<= x<= 4
extreme
f
(
x
)
=
√
1
6
−
x
2
,
−
4
≤
x
≤
4
extreme f(x)=6+3x-3x^2
extreme
f
(
x
)
=
6
+
3
x
−
3
x
2
extreme f(x)=x(16-47+2x)(47/2-x)
extreme
f
(
x
)
=
x
(
1
6
−
4
7
+
2
x
)
(
4
7
2
−
x
)
extreme f(x,y)=3x-4y+5
extreme
f
(
x
,
y
)
=
3
x
−
4
y
+
5
extreme f(x,y)=x^2y^3+4ln(x)
extreme
f
(
x
,
y
)
=
x
2
y
3
+
4
ln
(
x
)
extreme f(x)=x^2-4x-8
extreme
f
(
x
)
=
x
2
−
4
x
−
8
extreme f(x)=6x^2-2x^3+3y^2+6xy
extreme
f
(
x
)
=
6
x
2
−
2
x
3
+
3
y
2
+
6
xy
extreme f(x,y)=x^2+5y^2-4xy+2x-6y+6
extreme
f
(
x
,
y
)
=
x
2
+
5
y
2
−
4
xy
+
2
x
−
6
y
+
6
extreme f(x)=3x+ln(x)
extreme
f
(
x
)
=
3
x
+
ln
(
x
)
extreme f(x,y)=2x^2-6xy+5y^2-x+3y+2
extreme
f
(
x
,
y
)
=
2
x
2
−
6
xy
+
5
y
2
−
x
+
3
y
+
2
extreme f(x)=2x^3-x^2-4x+2,-1<= x<= 0
extreme
f
(
x
)
=
2
x
3
−
x
2
−
4
x
+
2
,
−
1
≤
x
≤
0
extreme (x-1)^3
extreme
(
x
−
1
)
3
extreme f(x)=-x^2+12,-3<= x<= 4
extreme
f
(
x
)
=
−
x
2
+
1
2
,
−
3
≤
x
≤
4
extreme f(x,y)=2x^2+3xy+4y^2-2x+10y
extreme
f
(
x
,
y
)
=
2
x
2
+
3
xy
+
4
y
2
−
2
x
+
1
0
y
extreme 2x^3-24x+1
extreme
2
x
3
−
2
4
x
+
1
extreme f(x)=x^7e^{2x}+2
extreme
f
(
x
)
=
x
7
e
2
x
+
2
extreme xe^{-5x}
extreme
xe
−
5
x
extreme f(x)=x^4+y^4-xy
extreme
f
(
x
)
=
x
4
+
y
4
−
xy
extreme f(x)=4x^3-108x^2+729x
extreme
f
(
x
)
=
4
x
3
−
1
0
8
x
2
+
7
2
9
x
extreme f(x)=4x^{3/4}-x,0<= x<= 256
extreme
f
(
x
)
=
4
x
3
4
−
x
,
0
≤
x
≤
2
5
6
extreme-x^3+6x^2+15x+4
extreme
−
x
3
+
6
x
2
+
1
5
x
+
4
extreme f(x)=xsqrt(x+8)
extreme
f
(
x
)
=
x
√
x
+
8
extreme f(x)=(x+2)/(x^2-3x-10)
extreme
f
(
x
)
=
x
+
2
x
2
−
3
x
−
1
0
extreme f(x)=(x^2-2x)e^{-x}
extreme
f
(
x
)
=
(
x
2
−
2
x
)
e
−
x
extreme y= 1/3 x^3-9x^2+72x+2
extreme
y
=
1
3
x
3
−
9
x
2
+
7
2
x
+
2
extreme f(x)=(2^2+3x)^2-(2x^3-4y^2)
extreme
f
(
x
)
=
(
2
2
+
3
x
)
2
−
(
2
x
3
−
4
y
2
)
extreme x^2-10x
extreme
x
2
−
1
0
x
extreme f(x,y)=-x^2-y^2+16
extreme
f
(
x
,
y
)
=
−
x
2
−
y
2
+
1
6
extreme f(x)=3x^4-294x^2+5
extreme
f
(
x
)
=
3
x
4
−
2
9
4
x
2
+
5
extreme f(x)=4x^2-4x^4
extreme
f
(
x
)
=
4
x
2
−
4
x
4
extreme f(x,y)=(x-1)^2+y^2+5
extreme
f
(
x
,
y
)
=
(
x
−
1
)
2
+
y
2
+
5
extreme f(x)=(2e^x)/(x^5),[0,infinity ]
extreme
f
(
x
)
=
2
e
x
x
5
,
[
0
,
∞
]
1
..
786
787
788
789
790
..
839