[Solution Library] In Activities 9 through 18 , find the indicated partial derivatives for each of the multivariable functions. h(s, t, r)=s/t+t/r-(s t-t r)^2


Question: In Activities 9 through 18 , find the indicated partial derivatives for each of the multivariable functions.

\(h(s, t, r)=\frac{s}{t}+\frac{t}{r}-(s t-t r)^{2}\)

  1. \(\frac{d h}{d s}\)
  2. \(\frac{\partial h}{\partial t}\)
  3. \(\frac{\partial h}{\partial r}\)
  4. \(\left.\frac{\partial h}{\partial r}\right|_{(s, t, r)=(1,2,-1)}\)

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