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일반적인 Functions & Graphing 문제
extreme f(x)=-10/3 x^3-31/2 x^2-3x+4
extreme
f
(
x
)
=
−
1
0
3
x
3
−
3
1
2
x
2
−
3
x
+
4
extreme f(x)=(x^2+7x+13)/(x+4)
extreme
f
(
x
)
=
x
2
+
7
x
+
1
3
x
+
4
extreme ((5x-8))/x
extreme
(
5
x
−
8
)
x
extreme f(x)=sin(x),-5<= x<= 6
extreme
f
(
x
)
=
sin
(
x
)
,
−
5
≤
x
≤
6
extreme f(x)=(-2x^2+16)/(sqrt(16-y^2))
extreme
f
(
x
)
=
−
2
x
2
+
1
6
√
1
6
−
y
2
extreme f(x)=8+(9+5x)^{2/5}
extreme
f
(
x
)
=
8
+
(
9
+
5
x
)
2
5
extreme f(x,y)=7x^2+8y^2+4x-5y+8
extreme
f
(
x
,
y
)
=
7
x
2
+
8
y
2
+
4
x
−
5
y
+
8
extreme f(x)=-7sec(x),-pi/3 <= x<= pi/3
extreme
f
(
x
)
=
−
7
sec
(
x
)
,
−
π
3
≤
x
≤
π
3
extreme f(x,y)=(xy(9-x-2y))/3
extreme
f
(
x
,
y
)
=
xy
(
9
−
x
−
2
y
)
3
extreme x^3+3xy^2-3y^2-3x^2+11
extreme
x
3
+
3
xy
2
−
3
y
2
−
3
x
2
+
1
1
extreme 0.001x^2+3.4x-90
extreme
0
.
0
0
1
x
2
+
3
.
4
x
−
9
0
extreme f(x)=12x-12y-2x^2-3y^2-25
extreme
f
(
x
)
=
1
2
x
−
1
2
y
−
2
x
2
−
3
y
2
−
2
5
extreme f(x)=3x^3+9x^2-72x
extreme
f
(
x
)
=
3
x
3
+
9
x
2
−
7
2
x
extreme f(xy)=x^2y^3-2x^4y
extreme
f
(
xy
)
=
x
2
y
3
−
2
x
4
y
extreme f(x)=x^2+2y^2-xy+14y
extreme
f
(
x
)
=
x
2
+
2
y
2
−
xy
+
1
4
y
extreme f(x) 1/((x^2-10x+35)^3)
extreme
f
(
x
)
1
(
x
2
−
1
0
x
+
3
5
)
3
extreme f(x)=(x^3)/3+x^2-3x+4
extreme
f
(
x
)
=
x
3
3
+
x
2
−
3
x
+
4
extreme f(x)=x^2-10x-1,2<= x<= 6
extreme
f
(
x
)
=
x
2
−
1
0
x
−
1
,
2
≤
x
≤
6
extreme f(x)=\sqrt[3]{3x^3+24}
extreme
f
(
x
)
=
3
√
3
x
3
+
2
4
extreme \sqrt[3]{x}(28-x)
extreme
3
√
x
(
2
8
−
x
)
extreme f(x)=x^3+15x-9
extreme
f
(
x
)
=
x
3
+
1
5
x
−
9
extreme f(x)=x^3-2x^2-15x+52.2
extreme
f
(
x
)
=
x
3
−
2
x
2
−
1
5
x
+
5
2
.
2
extreme f(x)=3x^2-5y^2-255x+70y+23
extreme
f
(
x
)
=
3
x
2
−
5
y
2
−
2
5
5
x
+
7
0
y
+
2
3
extreme f(x)=5xe^{-x}+9
extreme
f
(
x
)
=
5
xe
−
x
+
9
extreme f(x,y)=3x^2+2y^2-4y+10y
extreme
f
(
x
,
y
)
=
3
x
2
+
2
y
2
−
4
y
+
1
0
y
extreme E(a,b)=(a+b)^2-(a-b)^2
extreme
E
(
a
,
b
)
=
(
a
+
b
)
2
−
(
a
−
b
)
2
extreme g(x)=x^2-10x+27
extreme
g
(
x
)
=
x
2
−
1
0
x
+
2
7
extreme f(x)=2-4(sin^2(x))
extreme
f
(
x
)
=
2
−
4
(
sin
2
(
x
)
)
extreme f(x)=4xy-x^4-2y^2
extreme
f
(
x
)
=
4
xy
−
x
4
−
2
y
2
extreme f(x)=(x^2(x-3))/(x+6)
extreme
f
(
x
)
=
x
2
(
x
−
3
)
x
+
6
extreme f(x)=f(x)=xsqrt(x^2+4)
extreme
f
(
x
)
=
f
(
x
)
=
x
√
x
2
+
4
extreme f(x)=2x^3+3x^2-120x+9
extreme
f
(
x
)
=
2
x
3
+
3
x
2
−
1
2
0
x
+
9
extreme f(x)=x^3+12x^2-27x+6,-10<= x<= 0
extreme
f
(
x
)
=
x
3
+
1
2
x
2
−
2
7
x
+
6
,
−
1
0
≤
x
≤
0
extreme y=(2x^2-1)^2
extreme
y
=
(
2
x
2
−
1
)
2
extreme f(x)= 6/(-4x+2)
extreme
f
(
x
)
=
6
−
4
x
+
2
extreme f(y)=x^{y+1}
extreme
f
(
y
)
=
x
y
+
1
extreme f(x)=x^2log_{8}(x)
extreme
f
(
x
)
=
x
2
log
8
(
x
)
extreme x+(192)/x
extreme
x
+
1
9
2
x
extreme f(x)=-(x^2)/(10)+2x+3
extreme
f
(
x
)
=
−
x
2
1
0
+
2
x
+
3
extreme f(x)=(x^3-3x^2+3x+1)
extreme
f
(
x
)
=
(
x
3
−
3
x
2
+
3
x
+
1
)
extreme f(x)=x^3-3x+1,-3/2 <= x<= 3
extreme
f
(
x
)
=
x
3
−
3
x
+
1
,
−
3
2
≤
x
≤
3
extreme 16*x-4*ln(x)
extreme
1
6
·
x
−
4
·
ln
(
x
)
extreme f(x,y,z)=64
extreme
f
(
x
,
y
,
z
)
=
6
4
extreme f(x)=(16)/x+2pix^2
extreme
f
(
x
)
=
1
6
x
+
2
π
x
2
extreme y=x+9/x-4
extreme
y
=
x
+
9
x
−
4
extreme y=1990+550ln(x)
extreme
y
=
1
9
9
0
+
5
5
0
ln
(
x
)
extreme f(x)=((15/4)x)+(5x^3)-(90x^2)+15
extreme
f
(
x
)
=
(
(
1
5
4
)
x
)
+
(
5
x
3
)
−
(
9
0
x
2
)
+
1
5
extreme f(x,y)=1+e^{(x^2+y^2)}
extreme
f
(
x
,
y
)
=
1
+
e
(
x
2
+
y
2
)
extreme A(3,-5)B(1,-2)
extreme
A
(
3
,
−
5
)
B
(
1
,
−
2
)
extreme f(x)=518x-3x^2-100-50x
extreme
f
(
x
)
=
5
1
8
x
−
3
x
2
−
1
0
0
−
5
0
x
extreme 3x^2y+y^3-3y
extreme
3
x
2
y
+
y
3
−
3
y
extreme f(x)=-x^3+x^2
extreme
f
(
x
)
=
−
x
3
+
x
2
extreme f(x)=2(5x)^x
extreme
f
(
x
)
=
2
(
5
x
)
x
extreme f(x,y)=sqrt(400-16x^2-81y^2)
extreme
f
(
x
,
y
)
=
√
4
0
0
−
1
6
x
2
−
8
1
y
2
extreme f(x)=ln(7+x^2)
extreme
f
(
x
)
=
ln
(
7
+
x
2
)
extreme y=-x^3+3/2 x^2+18x
extreme
y
=
−
x
3
+
3
2
x
2
+
1
8
x
extreme 3x+3
extreme
3
x
+
3
extreme (x-2)^3+1
extreme
(
x
−
2
)
3
+
1
extreme (5x)/(x^2+9)
extreme
5
x
x
2
+
9
extreme f(x)=(1+x/5)x^{2/3}
extreme
f
(
x
)
=
(
1
+
x
5
)
x
2
3
extreme 3x+y
extreme
3
x
+
y
extreme f(x)=(e^x)/((3+e^x))
extreme
f
(
x
)
=
e
x
(
3
+
e
x
)
extreme f(x)=-x^2+190
extreme
f
(
x
)
=
−
x
2
+
1
9
0
extreme f(x)=28x-(x^2)/(105)
extreme
f
(
x
)
=
2
8
x
−
x
2
1
0
5
extreme 3^{x-1}
extreme
3
x
−
1
extreme f(x)=1+sec^2(x)
extreme
f
(
x
)
=
1
+
sec
2
(
x
)
extreme f(x)=x^4-8x^2+9
extreme
f
(
x
)
=
x
4
−
8
x
2
+
9
extreme f(x)=ln(5x^2-4x-3)
extreme
f
(
x
)
=
ln
(
5
x
2
−
4
x
−
3
)
extreme f(x)=x^{-2}-13x^{-1}
extreme
f
(
x
)
=
x
−
2
−
1
3
x
−
1
extreme f(x)=68x-x^3
extreme
f
(
x
)
=
6
8
x
−
x
3
extreme f(x)=2x^3-7
extreme
f
(
x
)
=
2
x
3
−
7
extreme f(x)=x^4+2y^2-2xy
extreme
f
(
x
)
=
x
4
+
2
y
2
−
2
xy
extreme 3+4x^2-x^4
extreme
3
+
4
x
2
−
x
4
extreme f(x,y)=(2e^{-x^2}+e^{-3y^2})
extreme
f
(
x
,
y
)
=
(
2
e
−
x
2
+
e
−
3
y
2
)
extreme f(x,y)=(x^4+2x^3y^2+2)/(3(x-1)y)
extreme
f
(
x
,
y
)
=
x
4
+
2
x
3
y
2
+
2
3
(
x
−
1
)
y
extreme f(x)=(x-1)^2+sqrt(4-4x^2)
extreme
f
(
x
)
=
(
x
−
1
)
2
+
√
4
−
4
x
2
extreme x^2-5xy+4y^2-2x+5y
extreme
x
2
−
5
xy
+
4
y
2
−
2
x
+
5
y
extreme f(x)=x^2+4x+11
extreme
f
(
x
)
=
x
2
+
4
x
+
1
1
extreme f(x)=x^2+4x+10
extreme
f
(
x
)
=
x
2
+
4
x
+
1
0
extreme f(x)=x^2+4x+17
extreme
f
(
x
)
=
x
2
+
4
x
+
1
7
extreme f(x)=xsqrt(324-x^2)
extreme
f
(
x
)
=
x
√
3
2
4
−
x
2
extreme y=-9/4 x^2+8
extreme
y
=
−
9
4
x
2
+
8
extreme f(x)= 4/3 x^3+22x^2+96x+7
extreme
f
(
x
)
=
4
3
x
3
+
2
2
x
2
+
9
6
x
+
7
extreme f(x)=x^2(x-3)^2
extreme
f
(
x
)
=
x
2
(
x
−
3
)
2
extreme f(x,y)=21xye^{-x^2-y^2}
extreme
f
(
x
,
y
)
=
2
1
xye
−
x
2
−
y
2
extreme 2x^3-3x^2-x+9
extreme
2
x
3
−
3
x
2
−
x
+
9
extreme f(x)=(x-6)e^{-6x}
extreme
f
(
x
)
=
(
x
−
6
)
e
−
6
x
extreme 2t^{10}(4-t^2)^5
extreme
2
t
1
0
(
4
−
t
2
)
5
extreme f(x)=f(x,y)=-x^2-2y^2+xy+x+3y
extreme
f
(
x
)
=
f
(
x
,
y
)
=
−
x
2
−
2
y
2
+
xy
+
x
+
3
y
extreme f(y)=x^3+y^3-27xy
extreme
f
(
y
)
=
x
3
+
y
3
−
2
7
xy
extreme f(x)=-2x^2+4x+6
extreme
f
(
x
)
=
−
2
x
2
+
4
x
+
6
extreme f(x)=12x^2-88x+121
extreme
f
(
x
)
=
1
2
x
2
−
8
8
x
+
1
2
1
extreme f(x)=9x^3-7x^2+3x+10,-5<= x<= 6
extreme
f
(
x
)
=
9
x
3
−
7
x
2
+
3
x
+
1
0
,
−
5
≤
x
≤
6
extreme f(x,y)=sqrt(400-49x^2-9y^2)
extreme
f
(
x
,
y
)
=
√
4
0
0
−
4
9
x
2
−
9
y
2
extreme f(x)=2x^3+24x^2+72x+7
extreme
f
(
x
)
=
2
x
3
+
2
4
x
2
+
7
2
x
+
7
extreme f(x,y)=sqrt(400-64x^2-36y^2)
extreme
f
(
x
,
y
)
=
√
4
0
0
−
6
4
x
2
−
3
6
y
2
extreme xe^{((5-x))/4}
extreme
xe
(
5
−
x
)
4
extreme-x^4+3x^3-x^2-5x+7
extreme
−
x
4
+
3
x
3
−
x
2
−
5
x
+
7
extreme f(x)=-3x^3-9
extreme
f
(
x
)
=
−
3
x
3
−
9
extreme f(x)=-1/2 x^2+5-8
extreme
f
(
x
)
=
−
1
2
x
2
+
5
−
8
1
..
833
834
835
836
837
..
839
