# Compute the following derivatives \frac{d}{ds}[(s^{3}-7s)^{\frac{8}{3}}]

Compute the following derivatives
$\frac{d}{ds}\left[{\left({s}^{3}-7s\right)}^{\frac{8}{3}}\right]$
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$y={\left({s}^{3}-7s\right)}^{\frac{8}{3}}$
Differentiating with respect to s
${y}^{\prime }=\left(\frac{8}{3}\right){\left({s}^{3}-7s\right)}^{\left(\frac{8}{3}\right)-1}×\left(3{s}^{2}-7\right)$
${y}^{\prime }=\left(\frac{8}{3}\right)\left(3{s}^{2}-7\right){\left({s}^{3}-7s\right)}^{\frac{5}{3}}$