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Functions f, g, and h are twice-differentiable functions with g (5) = h(5) = 1. The liney = 1 -(x -5) is tangent to both

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Functions f, g, and h are twice-differentiable functions with g (5) = h(5) = 1. The liney = 1 -(x -5) is tangent to both the graph of g at x = 5 and the graph of h at x = 5. (a) Find g'(5). (b) Let b be the function given by b(x) = 2x2g(x). Write an expression for b'(x). Find b'(5). 2x+1 (c) Let w be the function given by w(x) = nwa. Write an expression for w'(x). Find w'(5). (d) Use the tangent line to the graph of h(x) at x = 5 to approximate h(4.8). (e) Let p be the function given by p(x) = g(x) + f(3x). Given that p'(5) = _, find f'(15)

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