The number of bacteria after t hours in a controlled laboratory experiment is n = f ( t ) . (a) What is the meaning of the derivative f ′ ( 5 ) ? What are its units? (b) Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger, f ′ ( 5 ) or f ′ ( 10 ) ? If the supply of nutrients is limited, would that affect your conclusion? Explain.
Solution Summary: The author explains the meaning of the derivative at 5, f’(5) and its unit.
The number of bacteria after t hours in a controlled laboratory experiment is
n
=
f
(
t
)
.
(a) What is the meaning of the derivative
f
′
(
5
)
?
What are its units?
(b) Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger,
f
′
(
5
)
or
f
′
(
10
)
?
If the supply of nutrients is limited, would that affect your conclusion? Explain.
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