Derivative of x^(2x)

  • Thread starter 3songs
  • Start date
  • #1
10
0

Homework Statement





Homework Equations





The Attempt at a Solution


I only know that it is solved with ln. Something like lnx2x...
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
619
x^(2x)=e^(ln(x)*(2x)). Use the chain rule.
 
  • #3
10
0
x^(2x)=e^(ln(x)*(2x)). Use the chain rule.
I got:

(lnx 2x)'=1/x2x+lnx*2=x+2ln x

e^x+2lnx
=ex+e2elnx

?
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
619
Well, the derivative of 2*x*ln(x) isn't x+2*ln(x). You might want to work on that for a start.
 
  • #5
10
0
Well, the derivative of 2*x*ln(x) isn't x+2*ln(x). You might want to work on that for a start.
I am sorry, that was a typo.
I meant
2+2lnx NOT x+2lnx
 
  • #6
Dick
Science Advisor
Homework Helper
26,258
619
I am sorry, that was a typo.
I meant
2+2lnx NOT x+2lnx
That's better. Now work on the rest of it. The chain rule says (e^f(x))'=(e^f(x))*f'(x) doesn't it? Put f(x)=ln(x)*(2x).
 

Related Threads on Derivative of x^(2x)

  • Last Post
Replies
3
Views
1K
Replies
9
Views
2K
  • Last Post
Replies
11
Views
17K
Replies
2
Views
3K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
10K
  • Last Post
Replies
6
Views
6K
  • Last Post
Replies
10
Views
2K
Top