Categories > differentiation > Partial differentiation > If $u={{({{x}^{2}}+{{y}^{2}}+{{z}^{2}})}^{3/2}}$, then ${{\left( \frac{\partial u}{\partial x} \right)}^{2}}+{{\left( \frac{\partial u}{\partial y} \right)}^{2}}+{{\left( \frac{\partial u}{\partial z} \right)}^{2}}=$

differentiation

Question: If $u={{({{x}^{2}}+{{y}^{2}}+{{z}^{2}})}^{3/2}}$, then ${{\left( \frac{\partial u}{\partial x} \right)}^{2}}+{{\left( \frac{\partial u}{\partial y} \right)}^{2}}+{{\left( \frac{\partial u}{\partial z} \right)}^{2}}=$


1) $9u$
2) $9{{u}^{4/3}}$
3) $9{{u}^{2}}$
4) ${{u}^{4/3}}$
Solution: Explanation: No Explanation
Partial differentiation

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