Second Order Derivatives (AQA A-Level Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What does the second derivative represent?
What does the second derivative represent?
Rate of change of the first derivative
If for all in an interval, what is the shape of the graph?
If for all in an interval, what is the shape of the graph?
Concave up (U-shaped)
If for all in an interval, what is the concavity?
If for all in an interval, what is the concavity?
Concave down
Where do inflection points occur?
Where do inflection points occur?
Where changes sign
Find for .
Find for .
For , where is the inflection point?
For , where is the inflection point?
Why does have no inflection point?
Why does have no inflection point?
doesn't change sign
In the second derivative test, if at critical point , what is ?
In the second derivative test, if at critical point , what is ?
A local minimum
In optimization, if at critical point , what type of point is it?
In optimization, if at critical point , what type of point is it?
A local maximum
In physics, what does the second derivative of position with respect to time give?
In physics, what does the second derivative of position with respect to time give?
Acceleration