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1. Find the derivative of each function. Part A: h(x) = f(g(x)) I Part B: h(x) = (f(g(2x))3 Part C: h(x) = f(g(5x)4) Part D:

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1. Find the derivative of each function. Part A: h(x) = f(g(x)) I Part B: h(x) = (f(g(2x))3 Part C: h(x) = f(g(5x)4) Part D: h(x) = f(arcsin(6x)) 2. Consider the curve defined by x3 + y3 2x1 = 2. Part A: Find dy dx' Part B: Write an equation for the line tangent to the graph at the point (1, 1). 3. Let f be the function given by f(x) = cos(sin-ix). Part A: Find f'(x). Part B: Write an equation for the line tangent to the graph of f at 1 - x = . 2 4. Consider the graph dened by x2+ 5/2 - 4x 2y + 1 = 0. Part A: Find dy in - dx

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