Please derive the Lorentz transformation equations for velocities. For an object, the velocity components seen in reference frame S are: ??, ??, ??. There is a reference frame S’ is moving relative to reference frame S in the direction of +?̂. Derive ?′?, ?′?, ?′?. Please show your derivation details.

Please derive the Lorentz transformation equations for velocities. For an object, the velocity components seen in reference frame S are: ??, ??, ??. There is a reference frame S’ is moving relative to reference frame S in the direction of +?̂. Derive ?′?, ?′?, ?′?. Please show your derivation details.