Drive apparatus for a motor vehicle drive train, comprising - an electrical machine having a rotor, which is mounted such that it can rotate about an axis, and a stator, which is arranged coaxially in relation to the said rotor, wherein - the rotor has an electromagnetic rotor component and a rotor support, and - the stator has a stator support which, on the rotor side, supports an electromagnetic stator component, characterized in that - a system support of cylindrical and integral design is provided, which - has a first cylindrical and axially extending stator support section which forms the stator support, and which - has at least one second cylindrical and axially extending power electronics support section which is integrally formed on the system support and is arranged coaxially and radially at a distance from the first cylindrical stator support section and which forms a holding region for an electronics assembly (29; 30) for actuating the electrical machine, and wherein - the system support comprises a radially extending radial wall section which connects the stator support section and the power electronics support section to one another and wherein the system support further has - a first fluid cooling arrangement which is arranged on the stator support section and is in contact with the electromagnetic stator component so as to exchange heat, and has at least - one second fluid cooling arrangement which is formed separately from the first fluid cooling arrangement and is arranged on the power electronics support section and exchanges heat with the electronics assembly (29; 30), wherein - the electrical machine is designed as an internal rotor, in which the rotor and the stator are arranged in an annular first holding space which is formed on the system support between the stator support section and the power electronics support section, and wherein - at least one coolant supply channel, which supplies coolant to the first and/or second fluid cooling arrangement (34; 36), and at least one coolant discharge channel, which discharges coolant from the first and/or second fluid cooling arrangement (34; 36), are formed in the radial wall section of the system support. - an electrical machine having a rotor, which is mounted such that it can rotate about an axis, and a stator, which is arranged coaxially in relation to the said rotor, wherein - the rotor has an electromagnetic rotor component and a rotor support, and - the stator has a stator support which, on the rotor side, supports an electromagnetic stator component, - a system support of cylindrical and integral design is provided, which - has a first cylindrical and axially extending stator support section which forms the stator support, and which - has at least one second cylindrical and axially extending power electronics support section which is integrally formed on the system support and is arranged coaxially and radially at a distance from the first cylindrical stator support section and which forms a holding region for an electronics assembly (29; 30) for actuating the electrical machine, and wherein - the system support comprises a radially extending radial wall section which connects the stator support section and the power electronics support section to one another and wherein the system support further has - a first fluid cooling arrangement which is arranged on the stator support section and is in contact with the electromagnetic stator component so as to exchange heat, and has at least - one second fluid cooling arrangement which is formed separately from the first fluid cooling arrangement and is arranged on the power electronics support section and exchanges heat with the electronics assembly (29; 30), wherein - the electrical machine is designed as an internal rotor, in which the rotor and the stator are arranged in an annular first holding space which is formed on the system support between the stator support section and the power electronics support section, and wherein - at least one coolant supply channel, which supplies coolant to the first and/or second fluid cooling arrangement (34; 36), and at least one coolant discharge channel, which discharges coolant from the first and/or second fluid cooling arrangement (34; 36), are formed in the radial wall section of the system support.