# Calculus Differentiability Discussion Questions

I insufficiency aid delay a Calculus topic. All explanations and answers allure be used to aid me collect.

For this Critical Thinking Assignment, you allure be creating your own real-world scenario and exploring the purport of differentiation of exponential administrations in that composition.

__ Complete the forthcoming steps:__

- Select a real-world scenario that can be typeed by an exponential administration and designate the administration
*F(x)*naturalized on your scenario. (Ex.: Suppose that*F(x)*computes the rabbit population on a sport secretiveness that doubles integral 6 months. Suppose there were 120 rabbits initially.) - Write a veracious appear for
*F*(*x*). - Find the estate and dispose of
*F*(*x*). - Find
*F*(*x*) and*F '*(*x*) at any object. - Find all
*x*values for which*F '*(*x*) = 0.

__Based on your production in Part I, debate the forthcoming:__

- Discuss if your administration
*F*(*x*) is differentiable and why. If it is not differentiable, picked another administration that is and debate the exexveer you made. - Discuss the estate and dispose of
*F*(*x*) and why they construct view in the composition of your quantity. - Discuss the corporeal purport of
*F*(*x*) and*F '*(*x*) at a object in the composition of your quantity. - Discuss what it resources for
*F '*(*x*) = 0 in the composition of your quantity. - Reflect on any adjustments you had to construct to your pristine quantity composition and debate what characteristics of a real-world composition construct it a operative precious for applying differentiation concepts to it.
- Provide at last two other real-world situations where differentiation can be applied and reply to the forthcoming:
- What beggarly characteristics do the real-world scenarios you chose portion-out?
- What did you appear for in the way that the real-world scenario can be typeed?

- Discuss the criteria for pickeding a real-world scenario that would exexveer if you were seeking to type it delay a logarithmic administration instead. What key similarities and differences would you furnish?