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Problèmes Pré-calcul courants
derivative f(x)=5x
derivative
f
(
x
)
=
5
x
derivative f(x)= 1/(2x)
derivative
f
(
x
)
=
1
2
x
cartesian (1,0)
cartesian
(
1
,
0
)
derivative xe^{-x^2}
derivative
xe
−
x
2
derivative f(x)=x^7
derivative
f
(
x
)
=
x
7
derivative f(x)=sqrt(8-x^3)
derivative
f
(
x
)
=
√
8
−
x
3
pente x+y=3
slope
x
+
y
=
3
tangent f(x)=7x^2+2x-7,\at x=-3
tangent
f
(
x
)
=
7
x
2
+
2
x
−
7
,
at
x
=
−
3
pente-3x+5y=2x+3y
slope
−
3
x
+
5
y
=
2
x
+
3
y
cartesian (4,-(2pi)/3)
cartesian
(
4
,
−
2
π
3
)
cartesian (-sqrt(2),(5pi)/4)
cartesian
(
−
√
2
,
5
π
4
)
pente 0.5x-5y=9
slope
0
.
5
x
−
5
y
=
9
derivative y=4\sqrt[3]{x^5}
derivative
y
=
4
3
√
x
5
derivative 4x
derivative
4
x
tangent f(x)=4x^2+3,\at x=1
tangent
f
(
x
)
=
4
x
2
+
3
,
at
x
=
1
pente 2/3
slope
2
3
pente y=-3
slope
y
=
−
3
tangent y=x^3-5x,(-1,4)
tangent
y
=
x
3
−
5
x
,
(
−
1
,
4
)
derivative f(x)=e^{x^2}
derivative
f
(
x
)
=
e
x
2
derivative f(x)=4x^2
derivative
f
(
x
)
=
4
x
2
pente 3x+5y=15
slope
3
x
+
5
y
=
1
5
f=2
f
=
2
solvefor y,xy=8
solvefor
y
,
xy
=
8
simplifier (-4.4)(-2.2)
simplify
(
−
4
.
4
)
(
−
2
.
2
)
intégrale x/2
integral
x
2
polar (-8,8)
polar
(
−
8
,
8
)
derivative f(x)=7x^4-8x^5+1
derivative
f
(
x
)
=
7
x
4
−
8
x
5
+
1
perpendiculaire 2x-3y=5,\at x= 7/2
perpendicular
2
x
−
3
y
=
5
,
at
x
=
7
2
pente 4x+3y=12
slope
4
x
+
3
y
=
1
2
derivative y=ln(sqrt((x+1)/(x-1)))
derivative
y
=
ln
(
√
x
+
1
x
−
1
)
droite (-2,6),(3,-2)
line
(
−
2
,
6
)
,
(
3
,
−
2
)
tangent f(x)=x^2,\at x=1
tangent
f
(
x
)
=
x
2
,
at
x
=
1
y=sqrt(3)x
y
=
√
3
x
derivative f(x)=ln(sinh(x))
derivative
f
(
x
)
=
ln
(
sinh
(
x
)
)
intégrale sin(x)
integral
sin
(
x
)
derivative y=(arcsin(x^3))^4
derivative
y
=
(
arcsin
(
x
3
)
)
4
perpendiculaire y=3x-2
perpendicular
y
=
3
x
−
2
point médian (1,1),(4,-16)
midpoint
(
1
,
1
)
,
(
4
,
−
1
6
)
derivative f(x)=e^{-x}
derivative
f
(
x
)
=
e
−
x
tangent sqrt(x)
tangent
√
x
derivative 2x^2
derivative
2
x
2
derivative y=3x+2
derivative
y
=
3
x
+
2
parallèle y=2x+3
parallel
y
=
2
x
+
3
simplifier (-4.5)(0.8)
simplify
(
−
4
.
5
)
(
0
.
8
)
derivative f(x)=sin^3(x)
derivative
f
(
x
)
=
sin
3
(
x
)
derivative f(x)=(3x^2+6x+4)/(sqrt(x))
derivative
f
(
x
)
=
3
x
2
+
6
x
+
4
√
x
cartesian (-4,(7pi)/6)
cartesian
(
−
4
,
7
π
6
)
pente 8x+4y=16
slope
8
x
+
4
y
=
1
6
derivative y=(x^2+x+1)/x
derivative
y
=
x
2
+
x
+
1
x
derivative y=x^4
derivative
y
=
x
4
derivative y=sin(2x)
derivative
y
=
sin
(
2
x
)
slopeintercept 4x+2y=6
slopeintercept
4
x
+
2
y
=
6
intégrale cos(2x)
integral
cos
(
2
x
)
simplifier (-1.5)(5.5)
simplify
(
−
1
.
5
)
(
5
.
5
)
derivative f(x)= 1/4 x^8-1/2 x^6-x+2
derivative
f
(
x
)
=
1
4
x
8
−
1
2
x
6
−
x
+
2
derivative y= 4/x
derivative
y
=
4
x
pente x=6
slope
x
=
6
derivative f(x)=4e^xcos(x)
derivative
f
(
x
)
=
4
e
x
cos
(
x
)
derivative f(x)=x^2-4x
derivative
f
(
x
)
=
x
2
−
4
x
cartesian (-3,(5pi)/6)
cartesian
(
−
3
,
5
π
6
)
x=7
x
=
7
cartesian (9,(5pi)/6)
cartesian
(
9
,
5
π
6
)
derivative y=x^{3/2}
derivative
y
=
x
3
2
f=3
f
=
3
derivative f(x)=cos(x)
derivative
f
(
x
)
=
cos
(
x
)
x^2+y^2=4
x
2
+
y
2
=
4
f=0
f
=
0
pente 3x-5y=4
slope
3
x
−
5
y
=
4
distance (5,-9),(-4,-1)
distance
(
5
,
−
9
)
,
(
−
4
,
−
1
)
perpendiculaire y= 1/3 x+2,(3,3)
perpendicular
y
=
1
3
x
+
2
,
(
3
,
3
)
droite (8,4),(20,10)
line
(
8
,
4
)
,
(
2
0
,
1
0
)
tangent f(x)=(1+x)^{4/x},\at x=1
tangent
f
(
x
)
=
(
1
+
x
)
4
x
,
at
x
=
1
cartesian (6,-(7pi)/6)
cartesian
(
6
,
−
7
π
6
)
derivative f(x)=e^xln(x)
derivative
f
(
x
)
=
e
x
ln
(
x
)
pente 4-y=2x
slope
4
−
y
=
2
x
polar (-1,0)
polar
(
−
1
,
0
)
derivative f(x)=3
derivative
f
(
x
)
=
3
derivative f(x)= x/(e^x)
derivative
f
(
x
)
=
x
e
x
derivative f(x)=sqrt(4-x^2)
derivative
f
(
x
)
=
√
4
−
x
2
derivative f(x)=2x
derivative
f
(
x
)
=
2
x
pente y=4
slope
y
=
4
derivative f(x)=(x^3+2x)e^x
derivative
f
(
x
)
=
(
x
3
+
2
x
)
e
x
derivative y=sin^2(x)
derivative
y
=
sin
2
(
x
)
distance (-3,2),(0,3)
distance
(
−
3
,
2
)
,
(
0
,
3
)
pente y=5x+3
slope
y
=
5
x
+
3
pente y=-4x-1
slope
y
=
−
4
x
−
1
derivative y=arccos(1/x)
derivative
y
=
arccos
(
1
x
)
derivative f(x)=sin(3x)
derivative
f
(
x
)
=
sin
(
3
x
)
pente y=-1/2 x-4
slope
y
=
−
1
2
x
−
4
pente 2x-5y=9
slope
2
x
−
5
y
=
9
polar (-2,2)
polar
(
−
2
,
2
)
polar (-3,3)
polar
(
−
3
,
3
)
slopeintercept 13x-11y=-12
slopeintercept
1
3
x
−
1
1
y
=
−
1
2
derivative x^2e^{-3x}
derivative
x
2
e
−
3
x
derivative 4-x^2
derivative
4
−
x
2
derivative 1-x
derivative
1
−
x
intégrale x^4
integral
x
4
derivative f(x)=7
derivative
f
(
x
)
=
7
point médian (8,-10),(-10,-8)
midpoint
(
8
,
−
1
0
)
,
(
−
1
0
,
−
8
)
tangent f(x)=e^{-x}ln(x),\at x=1
tangent
f
(
x
)
=
e
−
x
ln
(
x
)
,
at
x
=
1
1
2
3
4
5
6
7
..
10