The derivative of is . I do not understand why. The answer in my text says that the t is a constant. However, I do not understand how to tell when something is a constant, and when something is not.
Originally in this problem I used the chain rule, and found the solution to be
which is not the answer.
I am looking for an explanation, in plain english please.
OH!!!!!!!!!! That makes complete sense. I was under the impression that t would be a constant, and it just didn't make any sense to me at all. e^3 being a constant does make sense though! The graph of te^3 would be a line, would it not? Then the derivative would be e^3 (a horizontal line).
Wow, I was just looking at it wrong.