Test 3 Flashcards
1
Q
What is the derivative if the graph is increasing
A
f’(x) >0
2
Q
What is the derivative if the graph is decreasing?
A
f’(x)<0
3
Q
What is the derivative if the graph is neither decreasing or increasing?
A
f’(x)=0
4
Q
If it is a parable concave down what does the f’(x) graph look like?
A
\
5
Q
If it is a parable concave up what does the f’(x) graph look like?
A
/
6
Q
What is the second derivative if the function is concave up?
A
f’‘(x)>0
7
Q
What is the second derivative if the function is concave down?
A
f’‘(x) < 0
8
Q
What is the second derivative if it is at a function’s inflection point?
A
f’‘(x)=0
9
Q
What happens at the inflection point?
A
The concavity changes
10
Q
A