Okay so for a is the instantaneous rate of change. But in this scenario, you can't just say the instantaneous rate of change right? I'm not sure how to put it. Maybe the population of rabbits at any point in the year?

Julius
Mar 4, 2018

#1**+2 **

P(x) is the population of rabits at any point in any year. To get the population after 3 years, calculate P(3). To get the population halfway through the third year, calculate P(3.5) .

P'(x) is the instantaneous rate of change in population per change in year. For example...

P'(11) = -4 means that after 11 years, the population was increasing by -4 per 1 year....in other words....the population was decreasing by 4 per year.

hectictar
Mar 4, 2018

#1**+2 **

Best Answer

P(x) is the population of rabits at any point in any year. To get the population after 3 years, calculate P(3). To get the population halfway through the third year, calculate P(3.5) .

P'(x) is the instantaneous rate of change in population per change in year. For example...

P'(11) = -4 means that after 11 years, the population was increasing by -4 per 1 year....in other words....the population was decreasing by 4 per year.

hectictar
Mar 4, 2018