1617-257/TUT-R-6: Difference between revisions
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On 10/20/16, we discussed how one can calculate the derivative of the inverse of |
On 10/20/16, we discussed how one can calculate the derivative of the inverse of the 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>: |
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<b>Method 1</b>. Find <math>f^{-1}</math> explicitly and differentiate it. |
<b>Method 1</b>. Find <math>f^{-1}</math> explicitly and differentiate it. |
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<b>Method 2</b>. Use the inverse function theorem. |
<b>Method 2</b>. Use the inverse function theorem. |
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Students who did both calculations noted that Method 2 was simpler than Method 1. |
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Latest revision as of 12:25, 21 October 2016
On 10/20/16, we discussed how one can calculate the derivative of the inverse of the map where :
Method 1. Find explicitly and differentiate it.
Method 2. Use the inverse function theorem.
Students who did both calculations noted that Method 2 was simpler than Method 1.
