Learn Danish: Det er tydeligvis forkert.

Yes! The suffix -vis is added to certain adjectives to turn them into evaluative sentence adverbs, which express the speaker's opinion or the likelihood of the whole sentence. Here, the adjective tydelig (clear) becomes tydeligvis (clearly or evidently). It works exactly like turning heldig (lucky) into heldigvis (luckily).

Where does tydeligvis go if I turn this sentence into a question?

In a main clause question, the verb and subject swap places, and the sentence adverb usually comes right after the subject. So, 'Is that clearly wrong?' becomes 'Er det tydeligvis forkert?'.

Doesn't the word tydeligt also mean 'clearly'? Why use tydeligvis here instead?

Great question! Tydeligvis is a sentence adverb meaning 'evidently' or 'it is obvious that', and it comments on the entire statement. Tydeligt is a regular adverb used to describe exactly how an action is performed. You use tydeligvis here to evaluate the situation, whereas you would use tydeligt in a sentence like 'Han taler tydeligt' (He speaks clearly).

Why does the adjective forkert end in a -t, and would it change if the subject was an en word instead of det?