Section 14.3 Partial Derivatives
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.
- \(\frac{\partial S}{\partial w}(160,
70)\)
- \(\frac{\partial S}{\partial h}(160, 70)\)