Consider the function f(x)=3^(x)+x Applying Differentiation Rules (Section 3.3) Use the appropriate rules (including the chain rule) to find the derivative f^(')(x). When evaluating f^(')(0), note that the derivative at x=0 is not 1. If you see a claim that f^(')(0)=1, it's incorrect. In other words, be careful with trusting online solvers. Show your work carefully to arrive at the correct derivative value. Interpreting the Derivative as a Rate of Change (Section 3.4) Explain how f^(')(0) represents the instantaneous rate of change of f(x) at x=0. Connect this interpretation to a potential real-world scenario (such as population growth, financial models, or any situation where you measure how something changes at a precise moment).