What is the process for differentiating y=e^x and y=lnx?

  • Thread starter Thread starter JasonX
  • Start date Start date
  • Tags Tags
    Differentiate
Click For Summary

Homework Help Overview

The discussion revolves around the differentiation of the exponential function y=e^x and the natural logarithm function y=lnx. Participants seek clarification on the differentiation process and the underlying principles involved.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express a desire for detailed explanations regarding the differentiation results provided. There is a focus on understanding the notation and the correct interpretation of the relationships between the functions and their derivatives.

Discussion Status

Some participants have pointed out potential issues with notation and clarity in the expressions used. There is an acknowledgment of the need for careful communication regarding the differentiation results, but no consensus has been reached on the best way to present the information.

Contextual Notes

Participants have requested formulas and detailed explanations, indicating a possible lack of familiarity with the differentiation rules for these functions. The discussion also highlights the importance of precise mathematical notation.

JasonX
Messages
10
Reaction score
0
please explain in more detail on how we come up with the answers below. Thanks in advance!
(formulas much appreciated)

Differentiate:
  1. 1
    y=e^x
    =e^x

  1. 2
    y=lnx
    =1/x
 
Last edited:
Physics news on Phys.org
JasonX said:
please explain in more detail on how we come up with the answers below. Thanks in advance!
(formulas much appreciated)

Differentiate:
  1. 1
    y=e^x
    =e^x

  1. 2
    y=lnx
    =1/x


You should be careful of the notation you use. y = ln x = 1/x isn't true. You would be more correct in saying that if y = ln x, then y' = 1/x. Just thought id point that out.
 
yes good observation danago
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 19 ·
Replies
19
Views
4K
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K