2025 AP Calculus AB FRQ 4 (AP Calculus BC FRQ 4) Walkthrough - The 2025 Graph Analysis Question

In this video, LucZha003 presents his solution to the fourth free-response question on the 2025 AP Calculus AB and BC exams over the analysis of the graph of the derivative of a function. Tentative and Unofficial Scoring Guidelines: Part A: 2 points: 1 point for Fundamental Theorem of Calculus, 1 point for the answer. Part B: 3 points: 1 point for g''(x) = f'(x) changes sign, 1 point for discussing the monotonicity of f(x), and 1 point for the 3 answers. Part C: 2 points: 1 point for g(12), 1 point for g(0). Part D: 2 points: 1 point for identifying critical points, 1 point for a correct answer with a valid justification.