1st and 2nd Derivative Test

studied byStudied by 18 people
0.0(0)
Get a hint
Hint

f is increasing

1 / 9

10 Terms

1

f is increasing

f’ +

New cards
2

f is decreasing

f’ -

New cards
3

f is concave up

f’’ +

New cards
4

f is concave down

f’’ -

New cards
5

Horizontal Tangent Line or Sharp Turn

f’ = 0 or f’ DNE

New cards
6

The point that f changes concavity

f’’ = 0 or DNE AND f’’ changes signs

New cards
7

1st derivative definition of the relative max of f (mountain)

f’ = 0 or DNE AND f’ changes sign from + to -

New cards
8

1st derivative definition of the relative min of f (valley)

f’ = 0 or DNE AND f’ changes signs from - to +

New cards
9

2nd derivative definition of the relative max of f (mountain)

f’ = 0 or DNE AND f’’ -

New cards
10

2nd derivative definition of the relative min of f (valley)

f’ = 0 or DNE AND f’’ +

New cards

Explore top notes

note Note
studied byStudied by 2220 people
... ago
4.7(3)
note Note
studied byStudied by 24 people
... ago
5.0(1)
note Note
studied byStudied by 42 people
... ago
5.0(2)
note Note
studied byStudied by 48 people
... ago
5.0(1)
note Note
studied byStudied by 452 people
... ago
5.0(3)
note Note
studied byStudied by 43 people
... ago
5.0(1)
note Note
studied byStudied by 19 people
... ago
4.5(2)
note Note
studied byStudied by 23406 people
... ago
4.5(119)

Explore top flashcards

flashcards Flashcard (41)
studied byStudied by 2 people
... ago
4.0(1)
flashcards Flashcard (26)
studied byStudied by 173 people
... ago
5.0(1)
flashcards Flashcard (48)
studied byStudied by 21 people
... ago
5.0(1)
flashcards Flashcard (41)
studied byStudied by 2 people
... ago
5.0(1)
flashcards Flashcard (47)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (22)
studied byStudied by 2 people
... ago
5.0(1)
flashcards Flashcard (20)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (22)
studied byStudied by 3 people
... ago
5.0(1)
robot