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1. Find - by implicit differentiation given 3x2y - yz = x . dx 2. A differentiable function f has a critical number at x = 2 and no other critical numbers. f' (1) = -3 and f'(3) = 5. Identify the relative extrema of fat x = 2. 3. Applying the first derivative test to (a) find the critical number of f (if any), (b) find the open intervals on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema. x3 - 5x f(x ) 5