The function is .
Differentiate on each side with respect to .
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The derivative function is .
Differentiate on each side with respect to
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Find the inflection point by equating .
Substitute in the function.
Inflection point .
The inflection point is .
The intervals are , and
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Interval \ | \
Test Value | \Sign of ![]() | \
Concavity | \
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Down | \
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Up | \
The graph is concave down in the interval and concave up in the interval
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Inflection point is .
The graph is concave up in the interval .
The graph is concave down in the interval .