No. The word relaxed does not usually carry a negative connotation. However, a similar word, 'lazy', usually does carry a negative connotation. "Relaxed" means calm, lacking stress or tension, while "lazy" means disinclined to exert or to work.
For most people, relaxed has a positive connotation.
Denouncing has a negative connotation.
A beggar generally is a negative connotation.
Slimy has the most negative connotation.
Negative
For most people, relaxed has a positive connotation.
Relaxed.
A negative connotation is a descriptive word that implies an undesirable characteristic. A negative connotation of the word strange is the word weird.
Sauntered means to have walked casually and in a relaxed manner. -I don't see any particular 'connotation' there. -( I strongly suspect that there are teachers out there who have caught onto this word 'connotation' and are unaware of it's true meaning.)
This is a negative connotation.
It is a negative Connotation
A beggar generally is a negative connotation.
Denouncing has a negative connotation.
Negative connotation of the word "difficult" could be frustrating or challenging.
A negative connotation of the word "talk" could be gossiping or spreading rumors.
The word "failure" typically has the most negative connotation in a sentence.
It is a negative word. Meaning negative, dreary, sad, etc.