A group of friends wants to go to the amusement park. They have $121 to spend on parking and admission . Parking is $5, and tick
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Employ a standard trick used in proving the chain rule:
The limit of a product is the product of limits, i.e. we can write
The rightmost limit is an exercise in differentiating
For the leftmost limit, we make a substitution
which in turn is the derivative of
So we find that