Stationary Points and Turning Points (HSC SSCE Mathematics Advanced): Quizzes
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Practise the questions
10 questions from this quiz
At a stationary point, what is the value of the derivative ?
At a stationary point, what is the value of the derivative ?
At a maximum turning point, how does the function's behaviour change?
At a maximum turning point, how does the function's behaviour change?
From increasing to decreasing
What distinguishes a turning point from other stationary points?
What distinguishes a turning point from other stationary points?
The derivative changes sign
What happens to the tangent at a point of inflection?
What happens to the tangent at a point of inflection?
It crosses the curve
Which symbol represents upward concavity?
Which symbol represents upward concavity?
∪ (like a smile)
At a stationary point of inflection, how does the curve behave on both sides?
At a stationary point of inflection, how does the curve behave on both sides?
Continues in same direction
Must all local maxima have a horizontal tangent?
Must all local maxima have a horizontal tangent?
No, not all local maxima
Where can the derivative change sign?
Where can the derivative change sign?
At or discontinuities
If slope changes from positive to negative at , what type of point is it?
If slope changes from positive to negative at , what type of point is it?
Maximum turning point
If slope is negative on both sides of a stationary point, what is it?
If slope is negative on both sides of a stationary point, what is it?
Stationary point of inflection