Find the x-value at which the given function has a point of inflection. $y = \frac { 1 } { 3 } x ^ { 3 } - 4 x ^ { 2 } + 15 x + 9$
A) $x = 0$
B) $x = 5$
C) $x = 4$
D) $x = 3$
E)no point of inflection

Name: Find the x-value at which the given function has a point of inflection. $y = \frac { 1 } { 3 } x ^ { 3 } - 4 x ^ { 2 } + 15 x + 9$ A) $x = 0$ B) $x = 5$ C) $x = 4$ D) $x = 3$ E)no point of inflection
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Question

Quizplus · Accepted Answer

The second derivative of the function is $y'' = 2x - 8$. Setting $y'' = 0$ gives $x = 4$.

Find the X-Value at Which the Given Function Has a Point