You put $500 in a savings account which earns compound interest at a rate of 0.2% per month. If you don't make any deposits or w
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Given that 
attains a maximum at 
, it follows that 
at that same point. So integrating once gives
and so the first derivative is
.
Integrating again, you get
You know that this curve passes through the point (2, -1), which means when
, you have 
:
and so
and so the first derivative is
Integrating again, you get
You know that this curve passes through the point (2, -1), which means when
and so