At what point(s) on the given curve is the tangent line horizontal?

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Homework Help Overview

The discussion revolves around identifying points on a curve where the tangent line is horizontal, a concept typically explored in calculus related to derivatives and critical points.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the need for confidence in one's own problem-solving abilities and suggest checking numerical solutions using tools like WolframAlpha.

Discussion Status

The conversation includes affirmations of the original poster's capabilities and hints at using external resources for verification. There is an emphasis on self-assurance in understanding the material.

Contextual Notes

Some participants express curiosity about the original poster's motivations for seeking help despite having previously provided detailed solutions.

ttpp1124
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Homework Statement
Can someone check to see if my two points are accurate?
Relevant Equations
n/a
IMG_4215.jpg
 
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Yes, of course it is! You have posted several questions in which you have given detailed solutions. Wonderful! My only question is why you would feel the need to ask!
 
HallsofIvy said:
Yes, of course it is! You have posted several questions in which you have given detailed solutions. Wonderful! My only question is why you would feel the need to ask!
It's always relieving and reassuring when I get a heads up from brilliant tutors online :)
Thank you!
 
If you just want a check of a numerical solution, you could try WolframAlpha.
Local maximum:
gif&s=25.gif

Local minimum:
gif&s=25.gif
 
You should have more confidence in your own "brilliance".
 
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