Points of Inflection (Leaving Cert Mathematics): Flashcards
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Point of inflection definition
Point of inflection definition
Where concavity of graph changes
Shape when function is concave up
Shape when function is concave up
Shaped like
Second derivative when concave up
Second derivative when concave up
Shape when function is concave down
Shape when function is concave down
Shaped like
Second derivative when concave down
Second derivative when concave down
What happens to at point of inflection?
What happens to at point of inflection?
Crosses zero or becomes undefined
First step to find point of inflection
First step to find point of inflection
Compute second derivative
Second step to find point of inflection
Second step to find point of inflection
Find where or undefined
for
for
Point of inflection of
Point of inflection of
If gives contradiction (e.g. )?
If gives contradiction (e.g. )?
No point of inflection exists
Does have point of inflection?
Does have point of inflection?
No