Ordering X-Values by Second Derivative
Consider the particular solution to the differential equation . The second derivative is . The approximate values of the second derivative for selected values of are as follows:
- At ,
- At ,
- At ,
- At ,
Based on this information, which of the following correctly orders the given -values from least to greatest according to their corresponding second derivative values? If two second derivative values are equal, the smaller -value should be listed first.
A
1,-1,3,-3
B
-3,3,-1,1
C
-1,1,-3,3
D
3,-3,-1,1
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