Question

Let \(f:\mathbb R^3\rightarrow \mathbb R\)
\(g(x,y,z)=f(x^2+yz,e^{yz}-x,z^2-y^2)\)
find \(\dfrac{\partial g}{\partial x},\dfrac{\partial g}{\partial y},\dfrac{\partial g}{\partial z}\) in terms of \(\dfrac{\partial f}{\partial x}.....\)
Please, help. Use chain rule and jot down the general formula first.

Answer 1

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Answer 2

What does it mean?