Describing derivatives in practical terms

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madgab89
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Homework Statement



Suppose C(r) is the total cost of paying off a car loan borrowed at an annual interest rate of r%. What are the units of C '(r)? What are the units of C'(r)? What is its sign?

Homework Equations


C'(r)=dC/dr


The Attempt at a Solution



So, I figured:

C'(r) = dC/dr
Which is dollars over interest rate(?)...which seems kinda awkward to me. I'm wondering if there's a better solution for what the units of C'(r) would be. (dollars per percent interest?)

And I'm not sure what is meant by "What is it's sign"?
 

Discussion

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What are the units of r?

"What is it's sign" means is it positive or negative ... or zero.
 

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