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Power Rule Derivative Calculator
Differentiate a x^n with the power rule and evaluate at a point.
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Differentiate a x^n with the power rule and evaluate at a point.
Power Rule Derivative Estimator
Enter your numbers below for an instant estimate.
0
π‘ Tip: Power rule: bring the exponent down as a multiplier, then reduce the exponent by one.
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
Power Quick Guide
Typical values for reference.
| f(x) | f prime(x) | At x=2 | Note |
|---|---|---|---|
| x^2 | 2x | 4 | Square |
| x^3 | 3x^2 | 12 | Cube |
| x^4 | 4x^3 | 32 | Quartic |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Power Rule Derivative Calculator FAQ
Answers to common questions about this calculator.
d/dx of x^n equals n x^(n-1).
It gives a quick estimate of power rule derivative 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.