Differentiation: The shape of curves Flashcards
1
Q
What are convex curves?
A
When d2y/dx2 is greater than 0, it is an increasing function.
2
Q
What are these two curves called? Convex or concave?
A
Convex
3
Q
What are concave?
A
When d2y/dx2 is less than 0, it is a decreasing function.
4
Q
What are these curves? Convex or concave?
A
Concave
5
Q
What is a stationary point of inflection?
A
d2y/dx2 = 0
6
Q
When is a stationary point a minimum?
A
d2y/dx2 > 0
7
Q
When is a stationary point a maximum?
A
d2y/dx2 < 0
8
Q
A
9
Q
A
10
Q
A