Using the savings account scenario Discuss if your function F(x) is differentiable and why. If it is not differentiable, select another function that is and discuss the change you made. Discuss the domain and range of F(x) and why they make sense in the context of your problem. Discuss the physical meaning of F(x) and F '(x) at a point in the context of your problem. Discuss what it means for F '(x) = 0 in the context of your problem. Reflect on any adjustments you had to make to your original problem context and discuss what characteristics of a real-world context make it a valid choice for applying differentiation concepts to it. Provide at least two other real-world situations where differentiation can be applied and respond to the following: What common characteristics do the real-world scenarios you chose share? What did you look for in the way that the real-world scenario can be modeled? Discuss the criteria for selecting a real-world scenario that would change if you were seeking to model it with a logarithmic function instead. What key similarities and differences would you find