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Question about graphs

  • Thread starter Miike012
  • Start date
  • #1
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Homework Statement



Say y = x^3

Then: y' = 3x^2
y'' = 6x


My question is... Lets say I graphed y y' and y''. Do these graphs give us any info about the anti derived graph?

For instance just by looking at the y' graph can I gather up any info for y graph?
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
14
Yep. Where y' is 0, the slope is zero and the graph has a critical point. Where y'>0, you know the graph is going up. Where y'<0, you know the graph is going down.

This is all covered in curve sketching.
 

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