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First Derivative Test Calculator
Critical point.
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First
Work It Out And Get Clear Answers
Critical point.
First Derivative Test Estimator
Enter your numbers below for an instant estimate.
0
1 minimum, 2 maximum.
💡 Tip: 1 minimum, 2 maximum.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Press Calculate to see the result.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
First Derivative Test Quick Guide
Typical values for reference.
| a (ax²+bx+c) | b | c | Critical x |
|---|---|---|---|
| 1 | -6 | 5 | 3 |
| 0.5 | -6 | 5 | 6 |
| 2 | -6 | 5 | 1.5 |
| 1 | -3 | 5 | 1.5 |
| 1 | -12 | 5 | 6 |
| Rule of thumb: check your inputs, use the result as a guide and round sensibly. | |||
Common Questions
First Derivative Test FAQ
Answers to common questions about this calculator.
1 minimum, 2 maximum.
It uses the default inputs shown and the formula described above. Change any value and press Calculate to see how the result moves.
It is an estimate based on the inputs you enter. Check real quotes, labels, product data or official guidance for important decisions.
Yes. Replace each input with your own figures and press Calculate to update the result.