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Popolari Pre Calculus Problemi
tangent f(x)= x/(x-1),\at x=0
tangent
f
(
x
)
=
x
x
−
1
,
at
x
=
0
punto medio (-12,-7),(-8,-4)
midpoint
(
−
1
2
,
−
7
)
,
(
−
8
,
−
4
)
integrale arctan(x)
integral
arctan
(
x
)
retta (-2,3),(5,8)
line
(
−
2
,
3
)
,
(
5
,
8
)
pendenza x=-3
slope
x
=
−
3
derivative f(x)=x^2-2x
derivative
f
(
x
)
=
x
2
−
2
x
derivative e^x+2e^{2x}
derivative
e
x
+
2
e
2
x
punto medio (-6,8),(6,-7)
midpoint
(
−
6
,
8
)
,
(
6
,
−
7
)
solvefor L,T=2pisqrt(L/g)
solvefor
L
,
T
=
2
π
√
L
g
pendenza y=6
slope
y
=
6
polar (4,0)
polar
(
4
,
0
)
polar (-5,5)
polar
(
−
5
,
5
)
derivative y= x/(x^2+1)
derivative
y
=
x
x
2
+
1
pendenza y=5
slope
y
=
5
derivative 3sqrt(x)
derivative
3
√
x
cartesian (4,-(7pi)/6)
cartesian
(
4
,
−
7
π
6
)
pendenza (1,18),(-8,12)
slope
(
1
,
1
8
)
,
(
−
8
,
1
2
)
θ=(3pi)/4
θ
=
3
π
4
derivative xy
derivative
xy
derivative xe^{-x}
derivative
xe
−
x
polar (2,-2)
polar
(
2
,
−
2
)
retta r=2
line
r
=
2
derivative y=ln(3x)
derivative
y
=
ln
(
3
x
)
derivative x^2sin(x)
derivative
x
2
sin
(
x
)
punto medio (3,sqrt(2)),(6,2)
midpoint
(
3
,
√
2
)
,
(
6
,
2
)
derivative x^3-xy+y^3=1
derivative
x
3
−
xy
+
y
3
=
1
punto medio (17,-11),(-14,-16)
midpoint
(
1
7
,
−
1
1
)
,
(
−
1
4
,
−
1
6
)
polar (1,1)
polar
(
1
,
1
)
y=-x
y
=
−
x
perpendicolare y=3x-2,(3,7)
perpendicular
y
=
3
x
−
2
,
(
3
,
7
)
derivative f(x)=sec^2(x)
derivative
f
(
x
)
=
sec
2
(
x
)
derivative y=3x^3+1/4 x^2
derivative
y
=
3
x
3
+
1
4
x
2
derivative f(x)=e^x+2e^{2x}
derivative
f
(
x
)
=
e
x
+
2
e
2
x
polar (0,-5)
polar
(
0
,
−
5
)
tangent f(x)=x^2,\at x=3
tangent
f
(
x
)
=
x
2
,
at
x
=
3
m= 1/2
m
=
1
2
derivative y=x^2ln(x)
derivative
y
=
x
2
ln
(
x
)
derivative f(x)=x^2
derivative
f
(
x
)
=
x
2
derivative f(x)=-5/(x^4)
derivative
f
(
x
)
=
−
5
x
4
x=8
x
=
8
derivative x^2+x
derivative
x
2
+
x
derivative y=x+2
derivative
y
=
x
+
2
pendenza (5,2),(3,-1)
slope
(
5
,
2
)
,
(
3
,
−
1
)
dectofrac-3.5
dectofrac
−
3
.
5
derivative f(x)=2x^3-6x^2,\at x=-2
derivative
f
(
x
)
=
2
x
3
−
6
x
2
,
at
x
=
−
2
f=20000000sqrt(1.4)
f
=
2
0
0
0
0
0
0
0
√
1
.
4
pendenza 7x=-4y-16
slope
7
x
=
−
4
y
−
1
6
tangent sin(x+y)=2x-2y,(pi,pi)
tangent
sin
(
x
+
y
)
=
2
x
−
2
y
,
(
π
,
π
)
derivative 2cos(x)
derivative
2
cos
(
x
)
retta (1,6),(5,8)
line
(
1
,
6
)
,
(
5
,
8
)
integrale e^{-x}
integral
e
−
x
derivative y=csc(x)cot(x)
derivative
y
=
csc
(
x
)
cot
(
x
)
y=x^2
y
=
x
2
cartesian (4,(4pi)/3)
cartesian
(
4
,
4
π
3
)
θ=(11pi)/6
θ
=
1
1
π
6
derivative 2sqrt(x)
derivative
2
√
x
perpendicolare y=x,(0,0)
perpendicular
y
=
x
,
(
0
,
0
)
integrale 1/(x^2)
integral
1
x
2
tangent f(x)=2x^2
tangent
f
(
x
)
=
2
x
2
punto medio (3,7),(7,3)
midpoint
(
3
,
7
)
,
(
7
,
3
)
derivative f(x)=(ln(x))/x
derivative
f
(
x
)
=
ln
(
x
)
x
polar (-2,-2sqrt(3))
polar
(
−
2
,
−
2
√
3
)
derivative f(x)=csc(x)
derivative
f
(
x
)
=
csc
(
x
)
x=4
x
=
4
retta x=-1
line
x
=
−
1
cartesian (3,(5pi)/4)
cartesian
(
3
,
5
π
4
)
retta (-12,14),(3,-1)
line
(
−
1
2
,
1
4
)
,
(
3
,
−
1
)
polar (1,-sqrt(3))
polar
(
1
,
−
√
3
)
pendenza 2x+2y=3
slope
2
x
+
2
y
=
3
punto medio (15,-9),(-2,-18)
midpoint
(
1
5
,
−
9
)
,
(
−
2
,
−
1
8
)
perpendicolare y= 5/4 x,(4,5)
perpendicular
y
=
5
4
x
,
(
4
,
5
)
derivative f(x)=e^{-2x}
derivative
f
(
x
)
=
e
−
2
x
cartesian (7,(5pi)/6)
cartesian
(
7
,
5
π
6
)
semplificare (-5.9)(-2.7)
simplify
(
−
5
.
9
)
(
−
2
.
7
)
derivative y=4^x
derivative
y
=
4
x
x=15
x
=
1
5
cartesian (3, pi/2)
cartesian
(
3
,
π
2
)
punto medio (-1,5),(5,5)
midpoint
(
−
1
,
5
)
,
(
5
,
5
)
pendenza-1/2
slope
−
1
2
derivative y=cos(x)
derivative
y
=
cos
(
x
)
derivative 3x^2+2x^2y^3-1.25y^2=0
derivative
3
x
2
+
2
x
2
y
3
−
1
.
2
5
y
2
=
0
polar (-2sqrt(3),2)
polar
(
−
2
√
3
,
2
)
derivative f(x)=ln(x^2+1)
derivative
f
(
x
)
=
ln
(
x
2
+
1
)
retta 4x-y=1
line
4
x
−
y
=
1
derivative y=arctan(x)
derivative
y
=
arctan
(
x
)
derivative f(x)=\sqrt[3]{x}
derivative
f
(
x
)
=
3
√
x
f(m)=m
f
(
m
)
=
m
perpendicolare y=-2x+10
perpendicular
y
=
−
2
x
+
1
0
derivative x^2ln(x)
derivative
x
2
ln
(
x
)
derivative f(x)=2^x
derivative
f
(
x
)
=
2
x
derivative y=x^2
derivative
y
=
x
2
derivative f(x)=x^2sin(x)
derivative
f
(
x
)
=
x
2
sin
(
x
)
pendenza y=-5
slope
y
=
−
5
derivative xcos(x)
derivative
x
cos
(
x
)
x=2
x
=
2
derivative f(x)=2x^2
derivative
f
(
x
)
=
2
x
2
polar (-3sqrt(3),3)
polar
(
−
3
√
3
,
3
)
punto medio (-5.5,-6.1),(-0.5,9.1)
midpoint
(
−
5
.
5
,
−
6
.
1
)
,
(
−
0
.
5
,
9
.
1
)
derivative xsqrt(x)
derivative
x
√
x
derivative f(x)=e^{2x}
derivative
f
(
x
)
=
e
2
x
1
..
5
6
7
8
9
10
