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12) [8 Marks, 4 marks for each part] Assume that f : R > R and g : R > R are both differentiable. Let
12) [8 Marks, 4 marks for each part] Assume that f : R > R and g : R > R are both differentiable. Let h($) = g o f($) a) Assume that the tangent line to the graph of f through the point (1, 3) is y 2 3+ 5(23 1) and the equation of the tangent line to the graph of h through (1, 4) is given by z = 4 2(33 1). Find the equation 2 = my + b of the tangent line to the graph of 9 through the point (3, 4). b) Use L(y) to estimate g(2.9)
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