Ap Calc Quater One Flash Cards

studied byStudied by 17 people
5.0(1)
Get a hint
Hint

Derivative of e^x

1 / 33

flashcard set

Earn XP

Description and Tags

Calculus

34 Terms

1

Derivative of e^x

e^x

New cards
2

derivative of lnX

1/x

New cards
3

Derivative of a^x

a^x ln(a)

New cards
4

derivative of LOGa X

1/xlna

New cards
5

IVT (Intermediate Value Theorem)

if f(x) is continuous on [a,b], there exists a point "c" between a and b such that f(a) ≤ c ≤ f(b)

New cards
6

average rate of change

f(b)-f(a)/b-a

New cards
7

F(x) B continuous at x=c if

1- F(c) exists

2- lim F(x)as x->c exists

3- lim f(x) as x-> c = F(c)

New cards
8

differentiability implies

continuity

New cards
9

Definition of the derivative F'(x)=

Lim as X->0 f(x+h) -f(x) / h

New cards
10

Alternate definition of derivative f'(c)

lim x-> c f(x+h)-f(x) / h

New cards
11

A function is not differentiable at x=c if

1- there is a cusp of sharp point at x=c

2- there is a vertical tangant at x=c

3- there is a discontinuity at x=c

New cards
12

Lim f(x) as x->0

find horizontal asymptote

New cards
13

Average rate of change vs Instantaneous rate of change

AROC= f(b)-f(a)/b-a

IROC= f'(c)

New cards
14

squeeze theorem

If f(x) ≤ g(x) ≤ h(x) for all x ̸= a and limx→a f(x) = limx→a h(x) = L, then limx→a g(x) = L

New cards
15

sin^2 x + cos^2 X

= 1

New cards
16

Sec^2 x -1

= tan^2 x

New cards
17

cscθ

1/sin θ

New cards
18

cotθ

cosθ/sinθ

New cards
19

Derivative of sinx

cosx

New cards
20

Derivative of cosx

sinx

New cards
21

Derivative of tanx

sec^2x

New cards
22

Derivative of secx

secx tanx

New cards
23

Derivative of cscx

-cscx cotx

New cards
24

Derivative of cotx

-csc^2x

New cards
25
New cards
26
New cards
27
New cards
28
New cards
29
New cards
30
New cards
31
New cards
32
New cards
33
New cards
34
New cards

Explore top notes

note Note
studied byStudied by 18 people
... ago
4.0(1)
note Note
studied byStudied by 12 people
... ago
5.0(1)
note Note
studied byStudied by 34 people
... ago
5.0(1)
note Note
studied byStudied by 13 people
... ago
5.0(2)
note Note
studied byStudied by 1 person
... ago
5.0(1)
note Note
studied byStudied by 57 people
... ago
5.0(1)
note Note
studied byStudied by 22 people
... ago
5.0(1)
note Note
studied byStudied by 1975 people
... ago
4.7(11)

Explore top flashcards

flashcards Flashcard (93)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (115)
studied byStudied by 13 people
... ago
5.0(2)
flashcards Flashcard (22)
studied byStudied by 17 people
... ago
5.0(3)
flashcards Flashcard (75)
studied byStudied by 2 people
... ago
5.0(1)
flashcards Flashcard (29)
studied byStudied by 27 people
... ago
5.0(2)
flashcards Flashcard (40)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (20)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (134)
studied byStudied by 2615 people
... ago
4.0(26)
robot