Basic Derivative Formulas.
                     The basic rules for derivative are summarized in the following table:
                                  Function        Derivative           Name
                                   cf(x)            cf′(x)
                                                   ′      ′
                                f(x)+g(x)        f(x)+g(x)           Sum Rule
                                              ′               ′
                                  f(x)g(x)   f (x)g(x)+f(x)g(x) Product Rule
                                        n              n−1 ′
                                  (f(x))        n(f(x))   f (x)      Power Rule
                                    ef(x)          ef(x)f′(x)
                                     f(x)             f(x) ′
                                    b            ln(b)b  f (x)
                                    f(x)     f′(x)g(x) −f(x)g′(x)  Quotient Rule
                                    g(x)                  2
                                                    (g(x))
                                  f(g(x))        f′(g(x))g′(x)       Chain Rule
                     Wealso know the derivatives of the following functions:
                                               Function Derivative
                                                  c          0
                                               mx+b          m
                                                   n          n−1
                                                 cx       cnx
                                                   x         x
                                                  e         e
                                                   x            x
                                                  b       ln(b)b
                                                 ln(x)       1
                                                             x
                                                log (x)      1
                                                  b       xln(b)