Given the following graph, state the intervals concave down

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The discussion focuses on identifying intervals of concavity based on the given graph. It states that the second derivative is zero for x > 0, indicating a potential inflection point. The interval -6 < x < -2 is identified as concave up. Additionally, x = -2 is confirmed as the point of inflection. Overall, the analysis emphasizes the relationship between the second derivative and the concavity of the function.
angela107
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Is this answer correct?
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I think is correct. The second derivative in ##x>0## equals ##0## and in ##-6<x<-2## the function is concave up.
## x=-2 ## would be the point of inflection.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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