Correct spelling, explanation: the word independent derives from the verb depend, which goes back to Middle English dependen – also written with en, not an. Thus dependent and independent will be the correct spellings, not independant.

Definition of independent:
adjective, free from outer control, not dependent
My oldest daughter is 17 and she thinks she is mature and independent.
Our local shop is a small independent business led by Mr. Collins.

Incorrect spelling, explanation: this is an incorrect form since independent should be written with ent at the end, just like its Latin or Middle English origin (respectively: pendere, dependen). This shows, that independant is a misspelling and independent is the correct form.

Incorrect spelling

Incorrect spelling

Incorrect spelling

Incorrect spelling

Incorrect spelling