Stationary Points (VCE SSCE Mathematical Methods): Quizzes
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Practise the questions
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Practise the questions
10 questions from this quiz
What condition must be satisfied at a stationary point on curve ?
What condition must be satisfied at a stationary point on curve ?
What is the first step when finding stationary points of a function?
What is the first step when finding stationary points of a function?
Find the derivative
At a local maximum, how does the gradient change?
At a local maximum, how does the gradient change?
Positive → zero → negative
At a local minimum, how does the gradient change?
At a local minimum, how does the gradient change?
Negative → zero → positive
What distinguishes a stationary point of inflection from turning points?
What distinguishes a stationary point of inflection from turning points?
The gradient sign doesn't change
What are turning points?
What are turning points?
Local maxima or minima
For , what is the x-coordinate of the stationary point?
For , what is the x-coordinate of the stationary point?
What is true about the tangent line at a stationary point?
What is true about the tangent line at a stationary point?
It is parallel to the x-axis
If gradient changes from + to 0 to - at point P, what type is P?
If gradient changes from + to 0 to - at point P, what type is P?
Local maximum
How many stationary points does have?
How many stationary points does have?
2