gradient of f(x,y,z) = z2sin(x3y) + yz: verify fxy = fyx

[koalamath]

Problem:

Find the gradient of the function: f(x,y,z) = z2sin(x3y) + yz. Verify that the double partial derivatives fxy and fyx match.

 

[Deleted member 4993]

Re: help

Problem:

Find the gradient of the function: f(x,y,z) = z2sin(x3y) + yz. Verify that the double partial derivatives fxy and fyx match.

Please show us your work - indicating exactly where you are stuck - so that we where to begin to help you.

Hint:

Look up definition of gradient of a function and method to calculate it.

 

[koalamath]

gradient= (Z^2(3x^2)ycos(x^3y))i+(x^3z^2cos(x^3y)+z)j+(2zsin(x^3y)+y)k

 

[Deleted member 4993]

gradient= Z^2(3x^2)ycos(x^3y)i+x^3z^2cos(x^3y)+zj+2zsin(x^3y)+yk

I think you are missing couple of parenthesis.

 

[koalamath]

edited is that better?

 

[Deleted member 4993]

edited is that better? <<< what do you think??!!!

 

[koalamath]

well yes i think thats how gradients are done but im not very good at this so I dont want to go to the next step if I have a misunderstanding on how to do the first