Let \( \mathrm{f}(\mathrm{x})=\lambda+\mu|\mathrm{x}|+v|x|^{2} \), where \( \lambda, \mu, v \) a...

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Let \( \mathrm{f}(\mathrm{x})=\lambda+\mu|\mathrm{x}|+v|x|^{2} \), where \( \lambda, \mu, v \) are real constants. The \( \mathrm{f}^{\prime}(0) \) exists if
(a) \( \mu=0 \)
(b) \( v=0 \)
(c) \( \lambda=0 \)
(d) \( \mu=v \)
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