First slide

Differentiation

Question

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

Moderate

A

$\frac{8}{3} {(1 - 8 z)}^{1 / 3}$
B

$\frac{1}{3} {(1 - 8 z)}^{1 / 3}$
C

$- \frac{8}{3} {(1 - 8 z)}^{- 2 / 3}$
D

$\frac{8}{3} {(1 - 8 z)}^{2 / 3}$

Solution

$\frac{d}{d z} {(1 - 8 z)}^{1 / 3} = \frac{1}{3} {(1 - 8 z)}^{- 2 / 3} (- 8) = - \frac{8}{3} {(1 - 8 z)}^{- 2 / 3}$

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