Vector calculus gradients
1. The problem statement, all variables and given/known data
Find a function f(x,y,z) such that F = (gradient of F). 3. The attempt at a solution I don't know :( I'm so confused Please help me!! 
hi calculusisrad! :smile:
Quote:
(only scalars have gradients, there's no gradient of a vector) i don't understand either :confused: 
Re: Vector calculus gradients
Sorry, yes you're right. The gradient of f should not be bolded.

Re: Vector calculus gradients
Think about what a gradient is. If I told you to find the gradient of a function, what would you do?
You would differentiate the function wrt x, and that is the i component of the gradient, you would differentiate the function wrt y, and that is the j component, and then you would differentiate the function wrt z, and that is the k component. Now, we are going in reverse. What is the reverse of differentiation? 
Re: Vector calculus gradients
I completely forgot the biggest part of the problem. WOW. Sorry about that!!!
Let F = (2xye^z)i + ((e^z)(x^2))j + ((x^2)y(e^z)+(z^2))k NOW find a function f(x,y,z) such that F = Gradient of f. Sorry about that. Please answer :) 
Re: Vector calculus gradients
"Please answer"? How about you show some effort first? You should have read the forums rules by now.

Re: Vector calculus gradients
This was due last Thursday, I'm horribly behind on homework, I'm desperate here.

Re: Vector calculus gradients
Quote:

Re: Vector calculus gradients
You know what the definition of "gradient" is, so use that.
[itex]\frac{\partial f}{\partial x}=[/itex] what? [itex]\frac{\partial f}{\partial y}=[/itex] what? [itex]\frac{\partial f}{\partial z}=[/itex] what? 
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