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Differentiate y= ${(1 - 8 z)}^{1 / 3}$ with respect to z

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83(1-8z)1/3

13(1-8z)1/3

-83(1-8z)-2/3

83(1-8z)2/3

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detailed solution

Correct option is C

ddz(1-8z)1/3 = 13(1-8z)-2/3(-8) = -83(1-8z)-2/3

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Differentiate y= (1-8z)1/3 with respect to z

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Differentiate y= ${(1 - 8 z)}^{1 / 3}$ with respect to z