What's the derivative of {sqrt (2x)} ?

  • Thread starter urbantrained
  • Start date
  • #1
I'm told that you don't need the product rule, or chain rule, or quotient rule to work it out. Can anyone show the workings as well please...?
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
43,021
970
I don't see anyway to find the derivative of √(2x) without using the chain rule (because of the "2", not the "√").

Write f(x)= (2x)1/2 and use the "power" rule:

f'(x)= (1/2)(2x)1/2-1(2x)'
= (1/2)(2x)-1/2(2)
= 1/√(2x)
 
  • #3
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,967
19
√(2x) = √2 √x

You can take it from here using the power rule and the scalar multiple rule.
 
  • #4
chroot
Staff Emeritus
Science Advisor
Gold Member
10,275
40
I love when you to Alfred E. Newmans fight it out.

- Warren
 
  • #5
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,967
19
You must be mad!
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
43,021
970
Hurkyl
ã(2x) = ã2 ãx

You can take it from here using the power rule and the scalar multiple rule.

Oh, well, if want to do it the EASY way!
 

Suggested for: What's the derivative of {sqrt (2x)} ?

Replies
4
Views
280
  • Last Post
Replies
3
Views
373
Replies
10
Views
485
  • Last Post
Replies
6
Views
475
  • Last Post
Replies
8
Views
495
Replies
1
Views
116
Replies
17
Views
322
  • Last Post
Replies
6
Views
583
  • Last Post
Replies
6
Views
514
Replies
1
Views
740
Top