Thread: Differentation (Business Calculus)

I can't really figure out what I need to plug in. Here is the problem ...

At 0 degrees Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by



Where v is the wind speed (in meters per second)

a.) Find and interpret it's meaning in this situation

b.) Find the rates of change of H when v=2 and v=5

Thanks in advance. Word problems tend to confuse me

Originally Posted by XIII13Thirteen

I can't really figure out what I need to plug in. Here is the problem ...

At 0 degrees Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by



Where v is the wind speed (in meters per second)

a.) Find and interpret it's meaning in this situation

b.) Find the rates of change of H when v=2 and v=5

Thanks in advance. Word problems tend to confuse me

(a) Expand and re-write, noting that



Now use the usual rule for differentiating:

.

Rate of change of H with respect to v.

(b) Sub v = 2 and v = 5 into the rule for .