The function is .
Apply derivative on each side with respect to .
Quotient rule of derivative: .
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Apply derivative on each side with respect to .
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Find Inflection points.
\To find the inflection points of the function .
Inflection point occurs at .
Subtitute in the function.
Inflection point is .
Test intervals and
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Intervals | \Test value | \ \
Sign of | \
Conclusion | \
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Concave downward | \
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Concave upward | \
The function is concave up in the interval .
The function is concave down in the interval .
The function is concave up in the interval .
The function is concave down in the interval .
Inflection point is .