calculus - curve sketching Flashcards
1
Q
f(x) is
A
original graph y-coordinates
2
Q
what does the first derivative tell you?
A
if original f(x) graph is increasing or decreasing
3
Q
where does the first derivative come from?
A
slopes of tangents to original f(x) graph
4
Q
f’(x) > 0
A
original f(x) increasing
5
Q
decreasing
A
f’(x)
6
Q
f’(x) = 0
A
probable horizontal tangent on original f(x) graph
7
Q
what does the second derivative tell you?
A
If original f(x) graph is concave up or concave down
8
Q
where does the second derivative come from
A
slopes of tangents to 1st derivative graph
