Stationary Point - Possible Values

Thread starter BAH0003
Start date Jul 11, 2019
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The discussion centers on the concept of stationary points related to the variable 'p' in a quartic function. It clarifies that 'p' itself does not have stationary points; rather, it represents the number of stationary points that the quartic function can have. Participants emphasize the importance of analyzing the derivative of the quartic to determine these stationary points. The conversation suggests a deeper understanding of the relationship between 'p' and the behavior of the quartic function is necessary. Overall, the focus is on the mathematical implications of stationary points in relation to the quartic's derivative.

Jul 11, 2019

BAH0003

Homework Statement: Hi,

I am having trouble with part d) of this question. It follows on with other parts of a question which I have attached. I have written that 'p' can indeed have stationary points but am not sure what the possible values of 'p' could be. If anyone can list these possible values that would be great, as this is apart of a big assignment that is due soon. Please note this is from question 4 from the first picture.

Thank You and Kind Regards.

Relevant Equations: Please refer to the sheet attatched

Please refer to the image attached

Screen Shot 2019-07-12 at 11.33.34 am.png

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Jul 12, 2019

haruspex

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BAH0003 said:

I have written that 'p' can indeed have stationary points but am not sure what the possible values of 'p' could be.

'p' does not have stationary points. It is the number of stationary points that the quartic has.
Think about the derivative of the quartic.

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