The discussion revolves around solving integrals that involve exponential functions, specifically focusing on the integral of the form \(\int \frac{dx}{e^x}\). Participants are exploring various methods and clarifying concepts related to differentiation and integration of exponential functions.
Some participants have provided guidance on the differentiation of exponential functions and the chain rule. There is acknowledgment of a mistake regarding the derivative, and a participant confirms the correctness of their answer after checking.
There appears to be some confusion regarding the application of the chain rule and the handling of negative signs in derivatives. Participants are reflecting on their understanding and previous knowledge.
learningphysics said:Take the denominator to the top...
Saladsamurai said:I just got it I think...Like I said, somehow since last night I've lost brain cells! for some reason I wouldn't believe that d\dx [e^-x]=e^-x <---
that is correct though right?
learningphysics said:almost. be careful about the '-'
You should use the chain rule: what is the derivative of e^(ax)
Saladsamurai said:Just checked the answer and it is right. Thanks. Strange that I forgot to chain rule.