Question: 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


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 1 and the vertical leg is changing at a rate of 6 % . 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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