| The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. |
|
Home  Differentiation Inverse Functions Theorem 1 |
|
 Search the VIAS Library | Index
|
  |
Theorem 1
THEOREM 1 If n is a positive integer and y = x1/n, then
Remember that y = x1/n is defined for all x if n is odd and for x > 0 if n is even. The derivative is defined for x ≠ 0 if n is odd and for x > 0 if n is even. If we are willing to assume that dy/dx exists, then we can quickly find dy/dx by the Inverse Function Rule.
|
|
| Home Differentiation Inverse Functions Theorem 1 |
|
Last Update: 2006-11-05