Explain each value represented in the context of the given problem.
Calculus derivative problem

Question

Explain each value represented in the context of the given problem.
Calculus derivative problem

precal · Answer

The number of people entering a concert can be modeled by the function $$f(t)=560 e ^{sint}$$

precal · Answer

where t represents the number of hours after the gates are open.
Find the values of f(1/2) and f'(1/2).  Use correct units to explain what each value represents in the context of this problem.

precal · Answer

f(1/2)=904.481926     
I wrote 
904 people entered concert after 30 minutes of the gates opening

precal · Answer

f'(1/2)=793.75735  but not sure what it represent

zepdrix · Answer

Ummm I mean like... the derivative represents instantaneous rate of change...
So I guess it would be telling us that `at this moment, the 30 minute mark`, people are coming in at a rate of 793 people ... per hour?
Something like that.

precal · Answer

sounds good to me, hope that sounds good to my professor

zepdrix · Answer

lol :)