Studied by 4 people

0.0(0)

Get a hint

Hint

1

Concave Up: graph of f(x)

New cards

2

Concave Up: behavior of f''(x)

f"(x) is positive

New cards

3

Concave Up: behavior of f'(x)

f'(x) is increasing

New cards

4

Concave down: graph of f(x)

New cards

5

Concave down: behavior of f''(x)

f"(x) is negative

New cards

6

Concave down: behavior of f'(x)

f'(x) is decreasing

New cards

7

Critical values

f'(x) = 0; f'(x) = Undefined

New cards

8

Intervals in which f(x) is decreasing: behavior of f'(x)

f'(x) is negative

New cards

9

Intervals in which f(x) is increasing: behavior of f'(x)

f'(x) is positive

New cards

10

Point of Inflection: behavior of f'(x)

f'(x) is a relative minimum or relative maximum

New cards

11

Point of Inflection: behavior of f''(x)

f"(x) changes sign

New cards

12

Relative Maximum: behavior of f'(x)

f'(x) changes from positive to negative

New cards

13

Relative Maximum: behavior of f(x)

f(x) changes from increasing to decreasing

New cards

14

Relative Minimum: behavior of f'(x)

f'(x) changes from negative to positive

New cards

15

Relative Minimum: behavior of f(x)

f(x) changes from decreasing to increasing

New cards