# Calculus: Derivatives – The Chain Rule – #28402

Question: Compound Interest: If a sum of \$1000 is deposited into an account that pays r% interest compounded quarterly, the balance after 12 years is

$A=1000{{\left( 1+\frac{r}{400} \right)}^{48}}$

Find an interpret $$\frac{dA}{dr}$$ when r = 5.

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