Suppose the quantities $x,y,z$ and $t$ satisfy

$z=f(x,y),x=g(t),$ and $,y=h(t).$

Given

$g(7)=2,g^{\text{'}}(7)=3$

$h(7)=-1,h^{\text{'}}(7)=-2$

$f_x(2,-1)=-2$ and $f_y(2,-1)=2$

compute $\frac{dz}{dt}$ at $t=7.$

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