Another Graph Derivative Problem
- Thread starter Jason76
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What is the relationship between concavity (up or down) and the second derivative?The following is a graph of the 2nd derivative (f ''). On what interval is (f) concave up? Answer: (-1,3) Why?
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Deleted member 4993
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One more hint:
What is the relationship between concavity (up or down) and the sign of second derivative (+ve or -ve)?
What is the relationship between concavity (up or down) and the sign of second derivative (+ve or -ve)?
If the graph is of the function (not the 1st of 2nd derivative), then you can assume that the 2nd derivative of the function will be negative (if it's concave down). However, this is NOT a graph of the original function (it's a graph of the 2nd derivative). So how does that work? How would this relate to an interval of \(\displaystyle x\) values
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Deleted member 4993
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According to the sketch shown:
In what domain the value of the second derivative is positive?
In what domain the value of the second derivative is positive?
\(\displaystyle (-1,3)\)
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Deleted member 4993
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Can you conclude something from that observation?