Problem 26E

Body surface area A typical male's body surface area S in square meters is often modeled by the formula where h is the height in cm, and w the weight in kg, of the person. Fine the rate of change of body surface area with respect to weight for males of constant height h = 180 cm (roughly 5’9”). Does S increase more rapidly with respect to weight at lower or higher body weights? Explain,

Solution:

Step 1:

In this question we have to find the rate of change of body surface area with respect to weight for males of constant height h = 180 cm. Also compare the rate change of surface area at lower and higher body weights.