Find the derivative of e^x / sqrt(2)

  • Thread starter Thread starter surfhare75
  • Start date Start date
  • Tags Tags
    Derivative E^x
Click For Summary

Homework Help Overview

The discussion revolves around finding the derivative of the function e^x divided by the square root of 2, which involves concepts from calculus, specifically differentiation rules.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the use of the quotient rule and question whether it is necessary given that the denominator is a constant. Some suggest factoring out the constant to simplify the differentiation process.

Discussion Status

The discussion is active, with participants providing insights into the differentiation process. There is an emphasis on understanding when to apply certain rules, such as the quotient rule versus recognizing constants in the expression.

Contextual Notes

Some participants express confusion about the application of differentiation rules, indicating a need for clarification on the nature of the functions involved, particularly regarding constants.

surfhare75
Messages
3
Reaction score
0
I must be brain dead ,but I can not seem to compute the derivative of e^x/sqrt2

I am stuck when I used the quotient rule for derivatives
 
Physics news on Phys.org
if you're problem is deriv of (e^x)/sqrt2 then try factoring out the sqrt2. If not the quotient rule is (F'G - FG')/(G^2)
 
You don't have a "quotient"! You just have ex multiplied by a CONSTANT.
 
d/dx e^x = e^x

d/dx sqrt(2) = 0

I don't know the english name for this rule but call e^x = u and sqrt(2) = v

d/dx u/v = (u'v-uv')/v^2
 
That would be the "quotient rule" referred to before. However, you don't really need either the product rule or quotient rule when the other "function" is a constant!
If C is a constant, then (Cf(x))'= Cf '(x) and (f(x)/C)'= f'(x)/C. Most people learn those long before (well, maybe a week) before they learn the product rule or quotient rule.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
9
Views
2K
Replies
16
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
22
Views
3K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K
Replies
3
Views
2K