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 |