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Name Date Unit 4 Test: Extensions Section B - Communication [ Total C - 10] This is an evaluation. To earn full marks, you must provide a complete justification for your answers. Your solution must: * Explain the overall strategy or calculus concepts being applied. : State any relevant formulas, theorems, or definitions used. * Show all logical steps and substitutions clearly. * Use correct mathematical notation and terminology. * Provide a concluding statement that interprets your result and answers the question. A mark of zero will be given for stating just the answer or partially copied from Al. Use only methods taught in this course and be sure to submit 1 single PDF in the assignments folder as weil. 1. Explain how the first derivative test can be used to classify local extrema. [4C] 2. Describe how you could determine if there is a local max or min at x = c, given: a. f'(c)=0 b. f"(c)=0 [4C] 3. Explain why there are no points for the function f(x) = b*, where the tangent is horizontal if b is a positive constant. [2C}