Key Difference: A French braid is a type of braid that starts at the top of the head and adds sections of hair from the sides to the original braid. A Dutch braid is a type of variation on the French braid also known as the inverse or reversed French braid. It is braided by bringing the hair under the other stands rather than over as is the case with the French braid.

Fun fact, French braid is not French at all, in fact it is believed to have been developed in North Africa, or Algeria to be exact. Yet somehow down the line, it got associated with the French. A French braid, as it is now popularly known, is similar to the regular braid, but with slight modifications.

While a regular braid starts at the nape of the neck, and continues down, the French braid starts at the top of the head. Also, instead of taking all of the hair at the beginning like for a regular braid, the French braid takes only a portion of the hair from the top of the head. This portion of the hair is then divided into three sections which are then weaved into a crisscross pattern by taking one section of hair over the other, and the other section over the first one, and so on and so forth. 

With each section that is taken over, a small section of hair is taken from the sides and added to one of the main sections of the hair. This creates the effect of weaving pattern where strands of hair join from the sides of the head with the main braid which run from the top of the head down the neck and rest against the back, depending on the length of the hair.

The Dutch braid is a type of variation on the French braid, which typically inverts the French braid. It is also known as the reverse French braid or the inside-out braid. Here, the braid is weaved in a similar pattern to a French braid, with a medium section taken from the top of the head and divided into three sections. The three sections are then used to weave the braid with more hair being added from the sides to the main braid, similar to French braid.

However, unlike a regular braid or a French braid, where the three strands are weaved by bringing one strand over the others, in a Dutch braid, the hair is braided by bring the strand under the other strand. This results in a more three dimensional look as the strands of hair prop up the braid.