Difference between revisions of "1617-257/TUT-R-6"
From Drorbn
(Created page with "On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map <math>f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2</math> where <math>f(r, \th...") |
|||
Line 1: | Line 1: | ||
On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map <math>f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2</math> where <math>f(r, \theta) := (r \cos \theta, r \sin \theta)</math>: | On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map <math>f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2</math> where <math>f(r, \theta) := (r \cos \theta, r \sin \theta)</math>: | ||
− | Method 1. Find <math>f^{-1}</math> explicitly and differentiate it. | + | <b>Method 1</b>. Find <math>f^{-1}</math> explicitly and differentiate it. |
− | Method 2. Use the inverse function theorem. | + | <b>Method 2</b>. Use the inverse function theorem. |
Revision as of 13:23, 21 October 2016
On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map where :
Method 1. Find explicitly and differentiate it.
Method 2. Use the inverse function theorem.