?Suppose \(f\) is a differentiable function of \(x\) and \(y\), and \(g(u

Chapter 12, Problem 19

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Suppose \(f\) is a differentiable function of \(x\) and \(y\), and \(g(u, v)=f\left(e^{u}+\sin v, e^{u}+\cos v\right)\). Use the table of values to calculate \(g_{u}(0,0)\) and \(g_{v}(0,0\).

               

Equation Transcription:

 

Text Transcription:

 f

x

y

g(u,v)=f (e^u+sin⁡ v,e^u+cos⁡ v)

g_u(0,0)

g_v(0,0)

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