On the Tangents, Normals, and Asymptotes to Curves...... 144 Singular Points in Curves 162 DIFFERENTIAL CALCULUS. CHAPTER I. DIFFERENTIATION. Functions of One Variable. IF u be an explicit function of x, which is of a complicated form, it may generally be reduced to the differentiation of simpler functions by means of the theorem y being some function of x, and u some function of y. This theorem may be extended to any number of functions, so that |