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Second Derivatives and Beyond

Second Derivatives and Beyond

At a Glance - No Concavity



If " is positive, then f is concave up. If " is negative, then f is concave down. If " is zero, we say that the function f has no concavity. It's flat. Pancakes can survive in a world of no concavity. When a function has no concavity, it means f doesn't curve at all. It's a straight line:

Exercise 1

Determine if the function is concave up, concave down, or has no concavity:


Exercise 2

Determine if the function is concave up, concave down, or has no concavity:


Exercise 3

Determine if the function is concave up, concave down, or has no concavity:


Exercise 4

Determine if the function is concave up, concave down, or has no concavity:


Exercise 5

Determine if the function is concave up, concave down, or has no concavity:


Exercise 6

Determine if the function is concave up, concave down, or has no concavity:


Exercise 7

Determine if the function is concave up, concave down, or has no concavity:


Exercise 8

Determine if the function is concave up, concave down, or has no concavity:


Exercise 9

Determine if the function is concave up, concave down, or has no concavity:


Exercise 10

Determine if the function is concave up, concave down, or has no concavity:


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