Power Function Calculator
Power Function with explicit inputs, formulas and domain checks.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Real values only. Noninteger exponents on negative x are outside scope. Domain checks follow x^b even when a=0.
Example Calculation
- Coefficient a: 2
- Exponent b: 3
- Input x: 4
For f(x)=2x³ at x=4, f=128 and f′=96.
Frequently asked questions
How do I use this calculator?
Enter coefficient a, exponent b, input x. The result updates automatically. Use Reset to restore the example values.
What method does it use?
f(x)=a x^b; f′(x)=ab x^(b−1) when the real derivative is defined.. Real values only. Noninteger exponents on negative x are outside scope. Domain checks follow x^b even when a=0.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.