Final answer:
The difficulties highlighted by Du Bois for African-American professionals post-emancipation arose from the contradiction of double aims, involving contending with both professional aspirations and racial inequality.
Step-by-step explanation:
After the emancipation, Du Bois highlights the difficulties and tensions experienced by African-American artisans, ministers, doctors, and others, which stemmed from the contradiction of double aims. This was characterized by a conflict between the aspiration for respect and advancement within their trades and the need to serve the interests of their own community, often impoverished and disenfranchised, which limited their opportunities to achieve excellence. Furthermore, societal racism and a lack of understanding from the wider population exacerbated these tensions, leaving African-Americans to navigate a complex web of barriers to attain both professional success and racial equality.