Question:
Something I've never quite understood was the reasoning behind this certain aspect of trig notation:
ex: differentiate sin^3 e^x
The first thing you'd do is rewrite this as (sin e^x)^3 such that you can easily differentiate with the chain rule.
I see this all the time...why is it not just written with the cube applied to whole expression on the outside of the expression to begin with?
Too many profs answer "well that's the way it is".