Posted by **kyle** on Friday, December 31, 2010 at 11:36pm.

The graph of the function y= x3+6x2+7x-2cos x changes concavity at x=

- concavity -
**drwls**, Saturday, January 1, 2011 at 2:21am
Concavity changes sign where the second derivative is zero. That would be where

6x + 12 + 2 cosx = 0, which can also be written

3x + 6 + cosx = 0

This transcendental equation will have to be solved numerically by iteration.

If x = -2, 3x + 6 + cosx = -0.42

If x = -1.9, 3x + 6 + cosx = -0.02

-1.9 is close to the correct answer

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