Tangent lines Assume f and g are differentiable on their

Chapter 3, Problem 79

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Tangent lines Assume f and g are differentiable on their domains with h1x2 = f 1g1x22. Suppose the equation of the line tangent to the graph of g at the point 14, 72 is y = 3x - 5 and the equation of the line tangent to the graph of f at 17, 92 is y = -2x + 23. a. Calculate h142 and h_142. b. Determine an equation of the line tangent to the graph of h at the point on the graph where x = 4.

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