The discussion revolves around finding derivatives using the multivariable chain rule, specifically for the function z = f(x + 2y). Participants are tasked with showing that 2∂z/∂x − ∂z/∂y = 0.
Some participants have provided guidance on how to approach the derivatives, with one confirming the expression for ∂z/∂x and prompting further exploration of ∂z/∂y. The discussion appears to be progressing with collaborative input.
Participants are working under the constraints of a homework assignment, which may limit the extent of their discussions and the depth of exploration into the problem.
Doug_West said:Homework Statement
Let f be a differentiable function of one variable, and let
z = f(x + 2y). Show that
2∂z/∂x − ∂z/∂y = 0
Homework Equations
Multi-variable chain rule
The Attempt at a Solution
I have no idea where to start with this, any advice would be greatly appreciated.
Thanks in advance,
Doug
Doug_West said:would it be f'(g(x,y))*1?