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## Homework Statement

Consider z=sin(x+y+z). This defines z implicitly as a function of x and y. Find an expression for dz/dx

## The Attempt at a Solution

This was on a test, this is what i did. I got 7/11 pts

dz/dx = cos(x+y+z)*(1+(dz/dx))

(dz/dx) / (1 + (dz/dx)) = cos(x+y+z)

i cant get dz/dx on one side by itself.... help please