From Wikipedia, the free encyclopedia. In calculus, the quotient rule is a method of finding the derivative of a function that is the quotient of two other functions for which derivatives exist.If the function one wishes to differentiate, , can be written as. and, then the rule states that the derivative of is.More precisely, if all x in some open set containing the number a satisfy, and and both exist, then exists as well and.f the function one wishes to differentiate, , can be written as. and, then the rule states that the derivative of is. More precisely, if all x in some open set containing the number a satisfy, and and both exist, then exists as well and.
A carboxylic acid /ËkÉrbÉkËsÉªlÉªk/ is an organic compound that contains a carboxyl group (C(O)OH). The general formula of a carboxylic acid is RâC(O)OH with R referring to the rest of the (possibly quite large) molecule.Carboxylic acids occur widely and include the amino acids and acetic acid (as vinegar).arboxylic acids react with bases to form carboxylate salts, in which the hydrogen of the hydroxyl (-OH) group is replaced with a metal cation. Thus, acetic acid found in vinegar reacts with sodium bicarbonate (baking soda) to form sodium acetate, carbon dioxide, and water:
Fatty Acids. The carboxylic acid products found in the saponifiable lipids are referred to as fatty acids. The fatty acids are long, unbranched monocarboxylic acids containing 10 to 22 carbon atoms. They typically have an even number of carbon atoms due to their biosynthetic pathway.