Velocity and Critical Points Flashcards
1
Q
What is the derivative of position?
A
Velocity
2
Q
What is the derivative of velocity?
A
Acceleration
3
Q
What is a critical point?
A
A point on f(x) where f’(x) = 0 or does not exist.
4
Q
At critical points, what does the tangent line look like?
A
The tangent line is horizontal, vertical, or does not exist.
5
Q
When f’(x) is positive, is the graph of f(x) increasing or decreasing?
A
Increasing
6
Q
When f’(x) is negative, is the graph of f(x) increasing or decreasing?
A
Decreasing
7
Q
What are four parts of a graph where the derivative does not exist?
A
- Corner
- Cusp
- Vertical tangent
- Discontinuity
