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Problèmes Functions & Graphing courants
extreme f(x)=3x^4-4x^3+5
extreme
f
(
x
)
=
3
x
4
−
4
x
3
+
5
extreme f(x)=-8x^{5/3}+\sqrt[3]{x}
extreme
f
(
x
)
=
−
8
x
5
3
+
3
√
x
extreme f(x,y)=xye^{-8y}
extreme
f
(
x
,
y
)
=
xye
−
8
y
extreme x^3+y^3-6y^2-3x+9
extreme
x
3
+
y
3
−
6
y
2
−
3
x
+
9
extreme f(x)=\sqrt[3]{x}(8-x),0<= x<= 8
extreme
f
(
x
)
=
3
√
x
(
8
−
x
)
,
0
≤
x
≤
8
extreme f(x)=\sqrt[3]{x}(8-x)
extreme
f
(
x
)
=
3
√
x
(
8
−
x
)
extreme y= 1/(x-2)-3
extreme
y
=
1
x
−
2
−
3
extreme f(x,y)=8y^2-5x^2-10y+2xy
extreme
f
(
x
,
y
)
=
8
y
2
−
5
x
2
−
1
0
y
+
2
xy
extreme f(x)= x/(x^2+9x+20)
extreme
f
(
x
)
=
x
x
2
+
9
x
+
2
0
extreme y=xe^x
extreme
y
=
xe
x
extreme f(x,y)=(6x-x^2)(4y-y^2)
extreme
f
(
x
,
y
)
=
(
6
x
−
x
2
)
(
4
y
−
y
2
)
extreme f(x,y)=x^2-2xy+2y
extreme
f
(
x
,
y
)
=
x
2
−
2
xy
+
2
y
extreme f(x)=2x^2-x^3
extreme
f
(
x
)
=
2
x
2
−
x
3
extreme f(x)=-x^2+6x+1,5<= x<= 8
extreme
f
(
x
)
=
−
x
2
+
6
x
+
1
,
5
≤
x
≤
8
extreme f(x)=x^3+2x^2-4x+8
extreme
f
(
x
)
=
x
3
+
2
x
2
−
4
x
+
8
extreme f(x,y)=x^2+y^2-81
extreme
f
(
x
,
y
)
=
x
2
+
y
2
−
8
1
extreme f(x,y)=11x^2+4xy+5y^2+5x+5y
extreme
f
(
x
,
y
)
=
1
1
x
2
+
4
xy
+
5
y
2
+
5
x
+
5
y
extreme f(x)=x^2+3xy
extreme
f
(
x
)
=
x
2
+
3
xy
extreme f(x,y)=3x^2y+y^3-6x^2-6y^2+4
extreme
f
(
x
,
y
)
=
3
x
2
y
+
y
3
−
6
x
2
−
6
y
2
+
4
extreme f(x,y)=-x^2-y^2-2y+5
extreme
f
(
x
,
y
)
=
−
x
2
−
y
2
−
2
y
+
5
extreme f(x)=|x^2-2x-3|,0<= x<= 2
extreme
f
(
x
)
=
|
x
2
−
2
x
−
3
|
,
0
≤
x
≤
2
extreme f(x,y)=x^3-3x(y-2)+(y-2)^3
extreme
f
(
x
,
y
)
=
x
3
−
3
x
(
y
−
2
)
+
(
y
−
2
)
3
extreme f(x,y)=4x^2+2y^2-2xy
extreme
f
(
x
,
y
)
=
4
x
2
+
2
y
2
−
2
xy
extreme x^4-8x^2+9
extreme
x
4
−
8
x
2
+
9
extreme f(x)=(6x-x^2)
extreme
f
(
x
)
=
(
6
x
−
x
2
)
extreme f(x,y)=(2xy)/((x-2))
extreme
f
(
x
,
y
)
=
2
xy
(
x
−
2
)
extreme f(x)=4x+9/x
extreme
f
(
x
)
=
4
x
+
9
x
extreme f(x)= 1/4 x^4-x^3-4x+2
extreme
f
(
x
)
=
1
4
x
4
−
x
3
−
4
x
+
2
extreme f(x)=x^3+2xy+y^2-5x
extreme
f
(
x
)
=
x
3
+
2
xy
+
y
2
−
5
x
extreme f(x)=|sin(x)|,(-pi,pi)
extreme
f
(
x
)
=
|
sin
(
x
)
|
,
(
−
π
,
π
)
extreme f(x)=(x^2-63)/(x-8)
extreme
f
(
x
)
=
x
2
−
6
3
x
−
8
extreme f(x)=x^2+y^4+2xy
extreme
f
(
x
)
=
x
2
+
y
4
+
2
xy
extreme (x^2-3)e^x
extreme
(
x
2
−
3
)
e
x
extreme f(x,y)=x^3+y^3+3xy+5
extreme
f
(
x
,
y
)
=
x
3
+
y
3
+
3
xy
+
5
extreme f(x)=(-cos(2x))/2-2sin(x)
extreme
f
(
x
)
=
−
cos
(
2
x
)
2
−
2
sin
(
x
)
extreme f(x)=x^4+4x^2-10,-5<= x<= 2
extreme
f
(
x
)
=
x
4
+
4
x
2
−
1
0
,
−
5
≤
x
≤
2
extreme f(x,y)=3xy^2+x^3-3x
extreme
f
(
x
,
y
)
=
3
xy
2
+
x
3
−
3
x
extreme f(x,y)=x^2+xy+y^2+x-y+1
extreme
f
(
x
,
y
)
=
x
2
+
xy
+
y
2
+
x
−
y
+
1
extreme ln(x^2+x+1)
extreme
ln
(
x
2
+
x
+
1
)
extreme f(x,y)=2xy-x^2-2y^2+3x+4
extreme
f
(
x
,
y
)
=
2
xy
−
x
2
−
2
y
2
+
3
x
+
4
extreme f(x)=2x^3-6x+5
extreme
f
(
x
)
=
2
x
3
−
6
x
+
5
extreme (1/2-x^2+y^2)e^{1-x^2-y^2}
extreme
(
1
2
−
x
2
+
y
2
)
e
1
−
x
2
−
y
2
extreme f(x)=2xln(9x)
extreme
f
(
x
)
=
2
x
ln
(
9
x
)
extreme f(x,y)=-x^4+y^4+x^2-y^2
extreme
f
(
x
,
y
)
=
−
x
4
+
y
4
+
x
2
−
y
2
extreme f(x)=4xe^{-x}
extreme
f
(
x
)
=
4
xe
−
x
extreme f(x)=x^3+3xy^2-15x+y^3-15y
extreme
f
(
x
)
=
x
3
+
3
xy
2
−
1
5
x
+
y
3
−
1
5
y
extreme f(x,y)=4x^4+y^2-2xy+1
extreme
f
(
x
,
y
)
=
4
x
4
+
y
2
−
2
xy
+
1
extreme f(x)=x^3(x-1)^2
extreme
f
(
x
)
=
x
3
(
x
−
1
)
2
extreme f(x,y)=xy-x-2y+1
extreme
f
(
x
,
y
)
=
xy
−
x
−
2
y
+
1
extreme f(x)=(t^2-1)^3
extreme
f
(
x
)
=
(
t
2
−
1
)
3
extreme f(x)=2x-4sin(x)
extreme
f
(
x
)
=
2
x
−
4
sin
(
x
)
extreme f(x)=x\sqrt[3]{x^2-4}
extreme
f
(
x
)
=
x
3
√
x
2
−
4
extreme f(x,y)=x^3+y^3-33xy
extreme
f
(
x
,
y
)
=
x
3
+
y
3
−
3
3
xy
extreme f(x)=5x^5-100
extreme
f
(
x
)
=
5
x
5
−
1
0
0
extreme f(x)=13x^3+138x^2-103
extreme
f
(
x
)
=
1
3
x
3
+
1
3
8
x
2
−
1
0
3
extreme f(x)=x^2+8x+10
extreme
f
(
x
)
=
x
2
+
8
x
+
1
0
extreme f(x)=7x-8y+2xy-x^2+y^3
extreme
f
(
x
)
=
7
x
−
8
y
+
2
xy
−
x
2
+
y
3
extreme f(x)=x^3-6x
extreme
f
(
x
)
=
x
3
−
6
x
extreme 2y^3+6yx^2-3x^3-150y
extreme
2
y
3
+
6
yx
2
−
3
x
3
−
1
5
0
y
extreme f(x)=x-2sin(x),0<= x<= 2pi
extreme
f
(
x
)
=
x
−
2
sin
(
x
)
,
0
≤
x
≤
2
π
extreme f(x)=sin(6x)
extreme
f
(
x
)
=
sin
(
6
x
)
extreme f(x)=x^3-3/2 x^2-6x
extreme
f
(
x
)
=
x
3
−
3
2
x
2
−
6
x
extreme f(x)=(x^3)/((x-1)^2)
extreme
f
(
x
)
=
x
3
(
x
−
1
)
2
extreme f(x,y)=-6x^2+5xy-y^2+x+y
extreme
f
(
x
,
y
)
=
−
6
x
2
+
5
xy
−
y
2
+
x
+
y
extreme f(x)=x^{5/3}-12x^{2/3}
extreme
f
(
x
)
=
x
5
3
−
1
2
x
2
3
extreme f(x)=2x^2ln(x)
extreme
f
(
x
)
=
2
x
2
ln
(
x
)
extreme f(x,y)=x^2-y^2x-xy
extreme
f
(
x
,
y
)
=
x
2
−
y
2
x
−
xy
extreme f(x)=(4x^2)/(x-8)
extreme
f
(
x
)
=
4
x
2
x
−
8
extreme f(x)=-2x^2+12x+3
extreme
f
(
x
)
=
−
2
x
2
+
1
2
x
+
3
extreme f(x,y)=2x^2+3y^2+2xy+10x-20y
extreme
f
(
x
,
y
)
=
2
x
2
+
3
y
2
+
2
xy
+
1
0
x
−
2
0
y
extreme f(x,y)=48xy-32x^3-24y^2
extreme
f
(
x
,
y
)
=
4
8
xy
−
3
2
x
3
−
2
4
y
2
extreme f(x,y)=x^2+xy+y^2-34y+385
extreme
f
(
x
,
y
)
=
x
2
+
xy
+
y
2
−
3
4
y
+
3
8
5
extreme f(x,y)=5-2x+4y-x^2-4y^2
extreme
f
(
x
,
y
)
=
5
−
2
x
+
4
y
−
x
2
−
4
y
2
extreme f(x)=-x^2+y^2
extreme
f
(
x
)
=
−
x
2
+
y
2
extreme f(x)=x^4-6x^3+12x^2-8x+1
extreme
f
(
x
)
=
x
4
−
6
x
3
+
1
2
x
2
−
8
x
+
1
extreme 3x^5-10x^3
extreme
3
x
5
−
1
0
x
3
extreme f(x,y)=x^2+3xy+2y^4
extreme
f
(
x
,
y
)
=
x
2
+
3
xy
+
2
y
4
extreme f(x)=x^2+6x+15
extreme
f
(
x
)
=
x
2
+
6
x
+
1
5
extreme f(x)=ln(x)
extreme
f
(
x
)
=
ln
(
x
)
extreme f(x)=-x^3-9x^2
extreme
f
(
x
)
=
−
x
3
−
9
x
2
extreme f(x)=3sin^2(x)
extreme
f
(
x
)
=
3
sin
2
(
x
)
extreme f(x)=12cos(x)+6sin(2x)
extreme
f
(
x
)
=
1
2
cos
(
x
)
+
6
sin
(
2
x
)
extreme U(x,y)=ln(x^2+4y^2-1)
extreme
U
(
x
,
y
)
=
ln
(
x
2
+
4
y
2
−
1
)
extreme f(x)=(x^2+2x-7)/(x^2+2x-3)
extreme
f
(
x
)
=
x
2
+
2
x
−
7
x
2
+
2
x
−
3
extreme f(x,y)=yxe^{-(x^2+y^2)}
extreme
f
(
x
,
y
)
=
yxe
−
(
x
2
+
y
2
)
extreme f(x)= x/(x^2-x+1),0<= x<= 3
extreme
f
(
x
)
=
x
x
2
−
x
+
1
,
0
≤
x
≤
3
extreme F(I,J)=25IN+12JN
extreme
F
(
I
,
J
)
=
2
5
IN
+
1
2
JN
extreme (x-x^2)^2,-1<= x<= 1
extreme
(
x
−
x
2
)
2
,
−
1
≤
x
≤
1
extreme p(x)=e^{x-3}+e^{-x}
extreme
p
(
x
)
=
e
x
−
3
+
e
−
x
extreme f(x,y)=-11*y^2+(x+16)^2+1
extreme
f
(
x
,
y
)
=
−
1
1
·
y
2
+
(
x
+
1
6
)
2
+
1
extreme x^3-6x^2+8
extreme
x
3
−
6
x
2
+
8
extreme f(x)=(x-5)/(x^2-6x+9)
extreme
f
(
x
)
=
x
−
5
x
2
−
6
x
+
9
extreme f(x)=xsqrt(x^2+4)
extreme
f
(
x
)
=
x
√
x
2
+
4
extreme f(x,y)=sqrt(4+2x-4y-x^2-y^2)
extreme
f
(
x
,
y
)
=
√
4
+
2
x
−
4
y
−
x
2
−
y
2
extreme f(x)=x^3(x+4)
extreme
f
(
x
)
=
x
3
(
x
+
4
)
extreme f(x,y)=x^3+y^3-27xy
extreme
f
(
x
,
y
)
=
x
3
+
y
3
−
2
7
xy
extreme f(x)=x^3+x^2-5x-5
extreme
f
(
x
)
=
x
3
+
x
2
−
5
x
−
5
extreme f(x,y)=5x^2+3xy+e^{xy}
extreme
f
(
x
,
y
)
=
5
x
2
+
3
xy
+
e
xy
extreme f(x)= 1/9*((x^3)/(x+2))
extreme
f
(
x
)
=
1
9
·
(
x
3
x
+
2
)
extreme f(x)=x^3-5x^2+3x+10,-2<= x<= 4
extreme
f
(
x
)
=
x
3
−
5
x
2
+
3
x
+
1
0
,
−
2
≤
x
≤
4
1
..
548
549
550
551
552
..
839
