
Home > CALC > Chapter 9 > Lesson 9.2.1 > Problem 9-53
9-53.
f is concave up when f ″ is positive. Where is the given graph positive?
This is asking for the slope of the given graph at x = 5.
This is where f ″ changes sign. Where does the given graph change from negative to positive and vice versa?
f ′ has a minimum where its slope changes from negative to positive.
The slope of f ′ is f ″. So where does f ″ change from negative to positive?