# Tag Info

I) Nick's answer already correctly explains that the partial derivative $\partial_{\lambda}T^{\mu_1\cdots\mu_p}{}_{\nu_1\cdots\nu_q}$ of a $(p,q)$ tensor is in general not a tensor, in the sense that it does not transform covariantly under coordinate transformations. II) In a coordinate-independent formulation, a $(p,q)$ tensor \tag{1} T~\in~\Gamma ...