power rule
The power rule states that
This rule, when combined with the chain rule, product rule, and sum rule, makes calculating many derivatives far more tractable. This rule can be derived by repeated application of the product rule. See the proof of the power rule (http://planetmath.org/ProofOfPowerRule).
Repeated use of the above formula gives
for .
Examples
Title | power rule |
---|---|
Canonical name | PowerRule |
Date of creation | 2013-03-22 12:28:03 |
Last modified on | 2013-03-22 12:28:03 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 7 |
Author | mathcam (2727) |
Entry type | Theorem |
Classification | msc 26A03 |
Related topic | ProductRule |
Related topic | Derivation |
Related topic | Derivative |