According to my research on studies conducted by various psychologists, I can say that based on the information provided within the question Derrick can most likely be diagnosed with Oppositional Defiant Disorder or ODD. This is a disorder in which the child exhibits defiant and hostile behavior towards his/her peers, parents, and any other adult or authoritative figure. This is exactly what Derrick is exhibiting by challenging his teacher as well as his fellow students.
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