AP-Calculus Some Important Theorems and Formulas – ( You ...

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10 Οκτ 2013 (πριν από 4 χρόνια και 2 μέρες)

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AP
-
Calculus Some Important
Theorems and
Formulas


( You should know )


Part I )

Theorems on Limits:
k

is constant (any number)


1) lim
k
f
(
x) =
k

lim
f
(x)

2)

lim
[
f
(
x) +
g
(x)
] = lim
f
(x) + lim
g
(x)

3) lim
f
(
x)
g
(x) = ( lim
f
(x) ) ( lim
g
(x))

4)


5)


Part II ) Formulas on Derivative: Using (a) and (n) as constants and (u) and
(v) as differentiable functions for (x).


1) Derivative of constant
:



ex:



2)

Coefficient to variable:

ex:


3)

The P
ower Rule
:


ex:


4)

The Product Ru
le
:






ex:



5)

The Quotient Rule:





ex:


6)

The Chain Rul
e:



ex:


or

ex
:

Part III ) Derivative of the Trigonometric formulas


1)


2)


3)



4)



5)



6)