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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
du du dy
dx dy da' y being some function of X, and u some function of y. This theorem may be extended to any number of functions, so that
du du dv ds dy
do do do dy .... da Ex. (1) Let u = (a + bw*)". Then y= a + bx", u = y",
sin r 6