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The member of the family of the function is . \ \
Find for which members is largest. \ \
The curvature of the plane at is
. \ \
Consider . \ \
Apply derivative on each side with respect to . \ \
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. \ \
Substitute the corresponding values in . \ \
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Substitute . \ \
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. \ \
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Consider . \ \
Apply derivative on each side with respect to . \ \
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Find the critical numbers equate . \ \
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. \ \
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Substitute values in
. \ \
If , then
is positive. \ \
If , then
is negative. \ \
If , then
is positive. \ \
If , then
is negative. \ \
The value of is largest for
. \ \
Therefore, the function is and
. \ \
\ \
The function is and
.