Calculus Haiku/Animation

A haiku & short animation demonstrating the concept of derivatives, made for my pre-calculus class final project at SF State. Graphs made w/ GNUplot & "animated" with The GIMP.

Category:

Education

Tags:

• animation
• calculus
• derivatives
• haiku

[th1rtyf0ur]

@11889music heh, nope, just made it for a class project.

[11889music]

@th1rtyf0ur Thank you! Are you a teacher??

[th1rtyf0ur]

@11889music The blue line is the original equation (just a random 3-power function for demonstration).

The cyan lines are tangent lines, with the dotted lines provided as a visual to indicate the slope ("rise over run") at that point, which is then plotted in the y axis. The resulting plots are then joined into the red function, which is the derivative of the original function- every y-value of the derivative (red) is the slope of the corresponding x-axis point of the original (blue).

[11889music]

Could someone please put up a little more explanation ?

For example, what the different colored lines each signify, what each equation means, and what math operations are needed for each of the little "box" animation steps.. ?