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52. f’(x) = 2 / 3 · 9·x ^ (2 / 3 - 1) + ( - 2 / 3)· 9x ^ ( - 2 / 3 - 1) = 9·2 / 3·x ^ ( - 1 / 3) + 9·( - 2 / 3)·x ^ ( - 5 / 3) = 6 / x ^ (1 / 3) – 6 / x ^ (5 / 3) 54. F’(x) = 1. 5·4x ^ (1. 5 - 1) – 6·0. 5·x ^ (0. 5 - 1) = 6x ^ 0. 5 – 3x ^ ( - 0. 5) = 6√x – 3 / √x.

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Carlosf1450
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52. f’(x) = 2 / 3 · 9·x ^ (2 / 3 - 1) + ( - 2 / 3)· 9x ^ ( - 2 / 3 - 1) = 9·2 / 3·x ^ ( - 1 / 3) + 9·( - 2 / 3)·x ^ ( - 5 / 3) = 6 / x ^ (1 / 3) – 6 / x ^ (5 / 3)

54.

F’(x) = 1.

5·4x ^ (1.

5 - 1) – 6·0.

5·x ^ (0.

5 - 1) = 6x ^ 0.

5 – 3x ^ ( - 0.

5) = 6√x – 3 / √x.