The calculus being taught is stuck in the 19tt century. It's time to redefine what calculus is.
My proposal:
>The standard approach is replaced by development of the fractional calculus using an infinitesimal approach.
It's just as rigorous, it's more general, it's more applicable, and its more intuitive.
The nonstandard arguments are reducible to the standard ones
The normal results are a special case of the fractional case
What's wrong with my idea?