It depends. When the AP sends out a DHCP request, it is a broadcast in layer 2 and layer 3. (i.e. destination MAC address in ethernet header is ffff.ffff.fff and destination IP address is 255.255.255.255). If the AP is on a different subnet than the DHCP server, you need a router to route the DHCP server from the AP VLAN to the DHCP server VLAN
OR
the router is configured as a DHCP relay agent; so that it converts the DHCP broadcast into unicast.
Do you have a router between the two VLANs? If you do, do you configure DHCP relay agent (i.e. ip helper-address in IOS) or allow layer 3 broadcast?