Derivatives of Exponential Functions(Scenario)
Consider the following problem: Supposethat F(x) computes the rabbit population on a game reservethat doubles every 6 months. Suppose there were 200 rabbitsinitially.
1. Write a mathematical expression forF(x).
2. Find domain and range of F(x) and discuss itsmeaning
3. Find F(x) and F'(x) at any point and discuss itsphysical meaning
4. Find all x values for which F'(x)=0and discuss what this function means
5. Discuss if your function F(x) isdifferentiable and why. If it is not, select another function thatis and discuss the change you made.
6. Discuss the criteria for selecting areal-world scenario that would change if you were seeking to modelit with a logarithmic function instead. What key similarities anddifferences would you find?
***Please discuss why...I am having a hard timeunderstanding each meaning with these scenarios*** ThankYou!!!
