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Second Derivative Test Calculator
Classify a critical point of a quadratic or cubic.
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Compare Your Options And Get Clear Answers
Classify a critical point of a quadratic or cubic.
Second Derivative Test Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: Assumes f prime = 0 at x.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Second Quick Guide
Typical values for reference.
| a | b | x | Result |
|---|---|---|---|
| 1 | -3 | 0 | Local maximum |
| 1 | -3 | 2 | Local minimum |
| 2 | 1 | -0.5 | Local maximum |
| 1 | 0 | 0 | Inconclusive |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Second Derivative Test Calculator FAQ
Answers to common questions about this calculator.
Sign.
It gives a quick estimate of second derivative test from the values you enter.
No. It is a planning estimate, so check important figures with a professional or official source.
Yes. Edit any field and the result updates when you calculate.