What you provide
What you provide
- Power-function coefficient, using the same scenario as the other inputs
- Power exponent, using the same scenario as the other inputs
- Evaluation point, using the same scenario as the other inputs
MATH / CALCULUS
Power Rule Derivative Calculator
Differentiate c times x to the n and evaluate the derivative at one point. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Differentiate c times x to the n and evaluate the derivative at one point. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
d(cx^n)/dx=cnx^(n-1)
What you receive
What you receive
- Derivative value from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The real-valued power function and evaluation point must make the derivative finite.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors