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Turning Points Without Calculus

sysD
in Mathematics

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Hey there,

 

I was just wondering if there is a simple way to find turning point (tan=0) coordinates without using calculus.

How about plotting the function and looking at the graph?

For curves symmetric about the turning point you can split the difference between the two roots or indeed any two points that give same f(x) - that would help for some simple curves

  • Author

How about plotting the function and looking at the graph?

 

Umm... sorry. That's kind of time consuming, especially on certain graphs....

 

Geometry.

 

Sounds promising, any leads?

 

 

For curves symmetric about the turning point you can split the difference between the two roots or indeed any two points that give same f(x) - that would help for some simple curves

 

This is a good idea. I'll implement it in symmetrical graphs. I wish all of them were that easy :rolleyes:

  • Author

Why not just use calculus?

 

Calculus is awesome and all, but I want to have an ironclad grasp on everything "pre-calculus."

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