ABSTRACT

When differentiating an explicit function, the function of a variable, say x, is differentiated with respect to x. However, when differentiating an implicit function, it becomes necessary to differentiate a function of one variable, say y, with respect to another variable, say x. This is achieved by using the 'chain' rule of differentiation. When a term is a product or a quotient of two functions of, say, x, the product or quotient rules of differentiation must be applied to find its differential coefficient. These same rules apply to products and quotients of terms having two variables. When differentiating an implicit function having several terms, each term is differentiated with respect to the variable.