F(x, y, z) ?

  • Thread starter makyol
  • Start date
  • #1
17
0
f(x, y, z) ???

Hey there,

Sorry for the title, but i cannot find any appropriate one for it, here is my question!

If f(x, y, z) = tanh (x+2y+3z) => fx =?(what is the derivative of f(x, y, z) with respect to x?)

Actually, i know the answer but i do not get the idea! In case it might help, the answer is that: sech^2(x+2y+3z)

So, as i said, can someone explain it to me? How can they reach this answer? Thanks!
 

Answers and Replies

  • #2
35,235
7,054


Hey there,

Sorry for the title, but i cannot find any appropriate one for it, here is my question!

If f(x, y, z) = tanh (x+2y+3z) => fx =?(what is the derivative of f(x, y, z) with respect to x?)

Actually, i know the answer but i do not get the idea! In case it might help, the answer is that: sech^2(x+2y+3z)

So, as i said, can someone explain it to me? How can they reach this answer? Thanks!
What you want is the partial derivative with respect to x. And you'll need the chain rule here, which looks something like this.
[tex]\frac{\partial tanh(u)}{\partial x} = \frac{\partial tanh(u)}{\partial u} \cdot \frac{\partial u}{\partial x}[/tex]
 
  • #3
17
0


Oh, i see now, i made a dummy mistake. Thank you for your quick reply!
 

Related Threads on F(x, y, z) ?

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
20K
Replies
15
Views
1K
  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
3
Views
2K
Replies
7
Views
5K
  • Last Post
Replies
4
Views
2K
Replies
4
Views
1K
Replies
2
Views
471
Top