Find x co-ordinates of the turning points of a function

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Homework Help Overview

The discussion revolves around finding the x-coordinates of the turning points of the function Y=2x^3+36x-1, with a focus on understanding the nature of these turning points through differentiation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of turning points and the role of differentiation in identifying them. Questions arise about the slope at turning points and the necessary steps to find x-coordinates, with some expressing confusion about the process.

Discussion Status

The conversation is ongoing, with participants seeking clarification on key concepts related to turning points. Some guidance has been offered regarding the characteristics of turning points and the importance of understanding the underlying principles of differentiation.

Contextual Notes

There is a noted urgency due to an upcoming exam, which may influence the nature of the requests for help. Participants are encouraged to explore foundational concepts rather than seeking direct answers.

druuuuuuuunnk
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Hi!

Find the x co-ordinates of the turning points of a function

Y=2x^3+36x-1

Determine the nature of the turning points.

I've been reading up on differentiation, I understand but I'm unsure what to do here. If someone could give me some helpful steps so I could learn to do this for my exam tomorrow I'd be grateful

Thanks
 
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druuuuuuuunnk said:
I've been reading up on differentiation, I understand but I'm unsure what to do here. If someone could give me some helpful steps so I could learn to do this for my exam tomorrow I'd be grateful

You tell me. What is the slope of a turning point of the graph?
 
gb7nash said:
You tell me. What is the slope of a turning point of the graph?

Its the gradient? Its the solution of to find x that I'm confused about. Do I differentiate it to simply it? Is that the answer the questions for or what else should I be looking at to solve it.
 
Start by answering gb7nash's question, then we can go from there.
 
druuuuuuuunnk said:
Its the gradient? Its the solution of to find x that I'm confused about. Do I differentiate it to simply it? Is that the answer the questions for or what else should I be looking at to solve it.

Seems like you're asking us to help you not read or listen in class (sorry). Ask (and look up) the following:

- what characterized a turning point?
- what determines whether it is min, max or saddle point?

Really, if someone does any more for you, they're just doing your work.
 
Ok thanks, I look those things up. I appreciate the help.
 

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