1617-257/TUT-R-6 - Revision history

Jeffim at 17:25, 21 October 2016

2016-10-21T17:25:04Z

← Older revision		Revision as of 13:25, 21 October 2016
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	Students who did both calculations noted that Method 2 ~~took~~ ~~less work~~ than Method 1.		Students who did both calculations noted that Method 2 was simpler than Method 1.

Jeffim at 17:24, 21 October 2016

2016-10-21T17:24:42Z

← Older revision		Revision as of 13:24, 21 October 2016
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	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 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>:

	<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.

	<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 took less work than Method 1.

Jeffim at 17:23, 21 October 2016

2016-10-21T17:23:03Z

← Older revision		Revision as of 13:23, 21 October 2016
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.

Jeffim: Created page with "On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map $f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2$ where $f(r, \th..."$

2016-10-21T17:22:32Z

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..."

New page

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.

Method 2. Use the inverse function theorem.

1617-257/TUT-R-6 - Revision history

Jeffim at 17:25, 21 October 2016

Jeffim at 17:24, 21 October 2016

Jeffim at 17:23, 21 October 2016

Jeffim: Created page with "On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2 where f(r, \th..."

Jeffim: Created page with "On 10/20/16, we discussed how one can calculate the derivative of the inverse of a map $f: (0,1/2) \times (0, \pi/4) \to U \subset \mathbb R^2$ where $f(r, \th..."$