Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(X) is blue. Let h(x) = f(g(x)). Find A. h'(1) = ____ B. h'(2) = ____ C. h'(3) = ____

Consider the graph of f(x), the derivative of f(x). Find each of the following: You must use interval notation as needed. Use a comma to separate answers as needed. If a question has no solution, type none for the answer. y = f'(x) 4 3 2 1. f is increasing in the interval(s) 2. f is decreasing in the interval(s) -5 -4 -3 -2 -11 -2 3. f has a relative maximum at x = 5Ay 4. f is concave up in the interval(s): 11 6. f has inflection points at x = 1 -4 -5- 5. f is concave down in the interval(s): 1 2 3 4 10

Find the derivative of the function using the definition of derivative. g(x) = V4 - x g'(x) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)

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