Curve Sketching Example: y = e^(1/x)

in DTube6 years ago (edited)


In this video I go over the steps involved in graphing the function y = e1/x. This is a great example for curve sketching because it involves both horizontal and vertical asymptotes as well as having inflection points with the derivative never being zero!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIgvNMwmUYttMOiIFUOw?e=jR7d9G

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/curve-sketching-example-y-e-1-x

Related Videos:

Curve Sketching Example: y = x^(2/3)(6-x)^(1/3): http://youtu.be/yDKzcdAEIVI
Increasing/Decreasing Test for Derivatives: Proof: http://youtu.be/b6kpWalTHrk
Increasing/Decreasing Test Example: http://youtu.be/6-J_6GPhLZE
First Derivative Test: http://youtu.be/9W4ejz0EMtE
First Derivative Test: Example y = x + 2sin(x): http://youtu.be/BLn2B0azut8
Second Derivative Test - A brief Introduction: http://youtu.be/lOwK5rQh0Kk
Guidelines to Curve Sketching: http://youtu.be/tOn7ZSAntKs
Guidelines to Curve Sketching - Examples Part 1: y = 2x^2/(x^2-1): http://youtu.be/-Eq7mKgaZN8
Exponential Functions and Graphing: http://youtu.be/FFNwh8KR9-Q
Infinite Limits: Horizontal and Vertical Asymptote Lines and VERY Useful Examples: http://youtu.be/__Y6IRcwdP8
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Power Functions Part 2: What is x^0 and 0^0???: http://youtu.be/VzFUDiLzRiE .


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I don't always sketch curves but when I do I make sure to follow these steps ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/curve-sketching-example-y-e-1-x

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