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7. Given f(x) = xarcsin x , find f' (x). 8. Consider a right triangle, which changes shape in the following way. The horizontal leg

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7. Given f(x) = xarcsin x , find f' (x). 8. Consider a right triangle, which changes shape in the following way. The horizontal leg is changing at a rate of 5 in/min and the vertical leg is changing at a rate of 6 im/min . At what rate is the hypotenuse changing when the horizontal leg is 12 in and the vertical leg is 9 in? (5 points)

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