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October 29th, 2012, 07:35 AM  #1 
Newbie Joined: Oct 2008 Posts: 4 Thanks: 0  Interpretating partial derivatives of a function of two vari
Hi there I have this function, which is the function for determining the body mass index (BMI): Then I have to determine these two values: And then I have to interpret these values, and I guess C is how much B changes when you go along the maxis (which in this case is the xaxis). But is there a like more tangible meaning to this value? It seems like it, but I am just not able to spot it :/ 
October 29th, 2012, 11:51 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Interpretating partial derivatives of a function of two Quote:
 
October 29th, 2012, 01:15 PM  #3 
Newbie Joined: Oct 2008 Posts: 4 Thanks: 0  Re: Interpretating partial derivatives of a function of two
m is weight in kilograms and h is height in meters. So the change in m, does not depend on m itself, it rather depends on h? 
October 29th, 2012, 01:23 PM  #4 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Interpretating partial derivatives of a function of two
Yes, that is correct: If we write then so that B is a linear function of m with slope so that if m changes by some amount, then B changes by time the change in m, not m itself.


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