Question

w = xCos(x² + y² + z²)
Calculate dw
(By Chain rule)

Answer 1

dw/dt = (∂w/∂x)(dx/dt) + (∂w/∂y)(dy/dt) + (∂w/∂z)(dz/dt)

Answer 2

Normally I have a parameterized function respect to a parameter (t, s)
BUt in this problem I have not x, y in terms of parameters
I have difficulties with the parameterization of a surface

Answer 3

Any idea...?

Answer 4

How to parameterize that surface?

Answer 5

multi variable chain rule no?
\[\Large df=f_xdx+f_ydy+f_zdz \]

Answer 6

hey, you have parameterize formula for this
x = x0 + fx*t
y = yo + fy *t
z = z0 + fz *t

Answer 7

Yes, multi variable chain rule...