Differential Calculus is a basic element of the Mathematics. This defines the differentiation of the terms and originates basic rules to do so. In other words, it is a study of differentiating i.e. the change in one constraint with respect to other constraint. For instance, the change in displacement with respect to time, gives velocity.
Calculus is a branch of mathematics that deals with derivatives and integrals of functions. these are two main branches of calculus, here we discuss is the differentiation. This is a branch that deals with differential rules, properties, theorems that relates it.
differential calculus is a sub field of calculus which study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus.