Determine Where the Graph of the Function $f(x)=x^{3}-30 x$ Is Concave Upward and Where It Is Concave Downward

question 126

Multiple Choice

Determine where the graph of the function $f(x) =x^{3}-30 x$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

• A) CU on \((-\sqrt{10}, \sqrt{10})\) , CD on \((-\infty,-\sqrt{10})\) and \((\sqrt{10}, \infty)\)
• IP \((-\sqrt{10}, 20 \sqrt{10})\) and \((\sqrt{10},-20 \sqrt{10})\)
• B) CU on \((0, \infty)\) , CD on \((-\infty, 0)\) ,
• IP \((0,0)\)
• C) CU on \((-\sqrt{10}, \infty)\) , CD on \((-\infty,-\sqrt{10})\) ,
• IP \((-\sqrt{10}, 20 \sqrt{10})\)
• D) CU on \((\sqrt{10}, \infty)\) , CD on \((-\infty, \sqrt{10})\) ,
• IP \((\sqrt{10},-20 \sqrt{10})\)

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