Summary Calculus 1 Cheat Sheet

Functions


lineal
d mxlconde a
m / , y
x -
X
:
=5z-y,
X2
.
-m
+b,
Quadratic
:
Ij g = ax bx +
10, c
" intercept




C
?t
I




)
y"
were




concaue
downward

II 9vertex : were
h
corcaue upward
)
a(x-hIKiI,k)
III y I were and roots
=aCX-xi)CX-x
x 42 are
)
,
,
Trig sinlcoss
12
-function
A




=smax-Ymin
I A cos ( -




C +
D B Zit I period
=
Bx
)
)
D 12
Ymin
=smax
exponencial C = find x y

values
with
and
bx
eby
I ) ae
if decreasesi x =




albxs.
bao if bso it increases




)
,
I Iall were a intersection
=y
-bekx)
A

Aekx
=máximun
FIX B intercept
1=
were
="y"
1


+
constant
B
F
=
i




Derivatives
I
d x




= h
s
"
x m


nx ( = lexponent dx
l


rule
x")
"-dlax
)
I
d senix coS
:
)
aldx (
1x)
I i
dx
chain rule
)
FISIx1)=F(91x1).g1X)
d ix
cosIx =-
)
I
sen
)
7. I
dx
Product rule
7'
g.:
g-gf
ax
)
Ina ax
l
d =
.
Ft
)=F'g-Fg
l dx
( rule
Quotient
ax Inx
gz ex
)
d
-ex
dx
:?
Inlegrals n
Oxdx
I



X
=
+yc
!
hTl




By
d
parts D=
e I udx U
x
:
axax
.
.x-
axte
ina



~ l I SFIgIxIl dx
fiu du
i
=f
D
.
)
gix
)
l




i