Tangent to cubic #1 (Advanced)
Creator
Dan Anderson (@dandersod)
Difficulty
Advanced
On to the Challenge!
Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.
It took a while to learn how to use the list command. I settled on the set from -15 to + 15 and created a list of a = [ -15.0, -14.9, … 15.0 ]
y = x^3
y – a^3 = (3a^2)(x-a)
This produced a result very much like yours.
Nicely done Francis!
Is this close enough?
https://www.desmos.com/calculator/wwwwqvlp59
Great! Here’s a very small tweak that gets your more tangent lines: https://www.desmos.com/calculator/ed1ity843n