# Calculus String Art

**URL:** <https://community.wolfram.com/t/calculus-string-art/11461>\
**Category:** Ideas\
**Tags:** education, fun-and-play, computational-arts, calculus\
**Created:** [November 1, 2017, 5:55pm UTC](https://community.wolfram.com/t/calculus-string-art/11461 "2017-11-01T17:55:32Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![joseluisgomez](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/joseluisgomez/32/15705_2.png) [@joseluisgomez](https://community.wolfram.com/u/joseluisgomez)\
**Post date:** [November 1, 2017, 5:55pm UTC](https://community.wolfram.com/t/calculus-string-art/11461/1 "2017-11-01T17:55:32Z")

</div>

A typical exercise in a Differential Calculus course is to obtain the equation of a line that is tangent to a function at a value of x. If you graph with different colors several lines that are tangent to a given function, at different values of x, then you obtain a “string art” image

 ![StringArt.png](https://global.discourse-cdn.com/wolfram/original/3X/4/7/47fcf60eec999f8cbceb1cbabeea4ec2143394fe.png)  
, it is also a good idea to let the students do all the calculation and graphing by hand besides using Mathematica  
 ![ManuelMaestro1.jpg](https://global.discourse-cdn.com/wolfram/original/2X/a/a4a5c799f3ff5270621e4e2efae9aaef61fe8df5.jpeg)  
, please notice there is also a great Demonstration of string art at [string art Demonstration](http://demonstrations.wolfram.com/DrawingSomePlaneCurvesUsingEnvelopesOfLines/)  
Please find attached a Mathematica file with code for doing differential-calculus string-art  
Have fun with Differential Calculus!  
Jose from Mexico