
Wind chill problem
$\displaystyle T_{wc} = 13.12 + 0.6212 \cdot T_a  11.37 \cdot V^{0.16} + 0.3965 \cdot T_a \cdot V^{0.16}$
This is the wind chill formula, see Wind chill  Wikipedia, the free encyclopedia
T is temperature, V is the wind velocity.
Let T = 10 C centigrade at some time and V = 10 m/s. At what rate must V be reduced for W to remain constant when T is reduced by 1 C centigrade per hour?

Re: Wind chill problem
Hey mathlearner100.
Have you tried to calculate the derivatives of W with respect to Ta and V? The total differential will be 0 if T_wc doesn't change (i.e. remains constant).
This is when these things vary continuously: if they don't then you need to consider a discrete model.