anonymous
  • anonymous
What are all the values of x for which the graph of y=6x^2+x/2+3+6/x is concave downward? I get the derivative but when i solve for x i don't get the answer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
How about getting the second derivative?
amistre64
  • amistre64
Is this the equation? \[6x^2 + \frac{x}{2} + 3 + \frac{6}{x}\]
anonymous
  • anonymous
yeah that's it

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anonymous
  • anonymous
Concave up, down...we need to evaluate second derivative also.
anonymous
  • anonymous
I thought it was just the first derivative?
anonymous
  • anonymous
You can, but second tells you immediately without any inspection: if 2nd der is positive over interval concave up, if negative over interval concave down. It is one of your tools.
anonymous
  • anonymous
ohh ok. Thank you.

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