It is well-known that the volume of a locally symmetric space (quotient of a symmetric space by an arithmetic subgroup, with respect to a suitably normalized invariant measure) is a product of special values of zeta functions. We give an extension of this result in the function field case, so far only for general linear groups and unitary groups. In the new result, locally symmetric spaces will be replaced by the moduli space of Drinfeld Shtukas with multiple legs, and special values of zeta functions will be replaced by their higher derivatives. This is joint work with Tony Feng and Wei Zhang.