Benny takes 11 hours to paint a room. it takes melanie 12 hours to complete the same job. how long would it take if they worked
1 answer:
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By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of in every term of the numerator cancels with
in the denominator:
Finally, each term containing approaches 0 as
, and the derivative is