Critically
Critically is the adverbial form of the adjective critical. It has several related senses: performing an evaluation or judgment, emphasizing severity or importance, and describing a manner of analysis that is careful, skeptical, and evidence-based. In this sense, it often appears in phrases such as think critically, analyze critically, or examine something critically.
In ordinary usage, to think or evaluate something critically means to scrutinize its claims, evidence, and implications
In medical contexts, critically describes a dangerous or life-threatening state, as in a patient is critically
Etymology and usage notes: critically derives from critical, which traces to Latin criticus and Greek kritikos