(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use implicit diff to find partial x and partial y if

x² + y² + z² = 3xyz

3. The attempt at a solution

firstly with partial x...

2x + 2z(∂z/∂x) = 3yz + 3xy(∂z/dx)

2x - 3yz = 3xy(∂z/dx) - 2z(∂z/∂x)

2x - 3yz = (3xy - 2z)(∂z/dx)

(2x - 3yz)/(3xy - 2z) = (∂z/dx)

yet in the solutions, they have moved all the (∂z/dx) terms to the left hand side thus giving

(∂z/dx) = (3yz - 2x)/(2z - 3xy)

Quite obviously this is not the same as my answer. My question is why should the two answers differ? MUST you take all (∂z/dx) terms to the left hand side as some sort of convention?

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# Homework Help: Query regarding implicit differentiation

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