Suppose that \(f\) is a differentiable function of \(x\) and…
Suppose that \(f\) is a differentiable function of \(x\) and \(y\), and \(g(t,s)=f(t^2-2s,3t-s)\), meaning that \(x=t^2-2s\) and \(y=3t-s\). Given the following table: \(f(x,y)\) \(g(t,s)\) \(f_x(x,y)\) \(f_y(x,y)\) (1,0) 4 3 4 5 (1,3) 3 5 -1 3 Find \(g_t(1,0)\). Enter your answer in the answer box below. \(g_t(1,0)\)=.
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