Derivatives and Integrals of Functions.—The following are formulas for obtaining the
derivatives and integrals of basic mathematical functions. In these formulas, the letters a
and c denotes constants; the letter x denotes a variable; and the letters u and v denote functions
of the variable x. The expression d/dx means the derivative with respect to x, and as
such applies to whatever expression in parentheses follows it. Thus, d/dx (ax) means the
derivative with respect to x of the product (ax) of the constant a and the variable x....