Jewel Beard
2022-04-18
resacarno4u
Beginner2022-04-19Added 12 answers
Step 1
Investigate the sign of the second derivative.
Explanation:
Let:
(For finding y", remember that so we'll use the chain rule)
(The derivative of 2 is 0.)
So .
y" is never undefined on , so its only chance to change sign is at its zero(s)..
. So the only zero of y" is where , which is at .
Step 2
For x in is negative, so y" is negative and the graph of the function is concave down.
For x in is positive, so y" is positive and the graph of the function is concave up.
The function is concave down on , and it is concave up on .
The point (0, 0) is an inflection point.
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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