Ex 91

A model for the surface area of a human body is given by the function
\[S = f(w, h) = 0.1091 w^{0.425} h^{0.725}\]
where \(w\) is the weight (in pounds), \(h\) is the height (in inches), and \(S\) is in square feet. Calculate and interpret the partial derivatives.

  1. \(\frac{\partial S}{\partial w}(160, 70)\)
  2. \(\frac{\partial S}{\partial h}(160, 70)\)