Final answer:
The Whigs were unhappy with Tyler because he vetoed the establishment of a new national bank twice and disregarded their economic development agenda by opposing higher tariffs and federal funding for internal improvements.
Step-by-step explanation:
The Whigs were unhappy with John Tyler's accession to the presidency because Tyler vetoed their proposal for a new national bank twice, which opposed the Whig legislative agenda of economic development. Trade and tariffs where also contentious points as Tyler disregarded their suggestions for increasing the tariff and providing federal funds for internal improvements.
This dispute over economic policies and the lack of support for a national bank led to Tyler effectively becoming a 'president without a party,' alienating him from the Whigs who aimed for robust federal economic intervention.