Further Applications of Differentiation (Edexcel A-Level Mathematics): Flashcards
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What does the second derivative indicate about concavity?
What does the second derivative indicate about concavity?
It shows if a function is concave up or down.
When is a function concave up according to the second derivative?
When is a function concave up according to the second derivative?
If in an interval, it's concave up.
What indicates a function is concave down?
What indicates a function is concave down?
If in an interval, it's concave down.
What is an inflection point?
What is an inflection point?
Where concavity changes in the graph of a function.
How to find an inflection point?
How to find an inflection point?
Solve or where is undefined.
What does indicate at a critical point?
What does indicate at a critical point?
It indicates a local minimum at that point.
What does indicate at a critical point?
What does indicate at a critical point?
It indicates a local maximum at that point.
What is the condition for inconclusive second derivative test?
What is the condition for inconclusive second derivative test?
If at the critical point, the test is inconclusive.
How is the second derivative useful in curve sketching?
How is the second derivative useful in curve sketching?
It helps identify concavity and inflection points.
How does the second derivative apply in economics?
How does the second derivative apply in economics?
It helps find max profit or min cost in functions.