Math 121 - Basic Derivative Formulas
                                                     G.Pugh
                                                 Oct 13 2009
              G.Pugh (VIU)                 Math121-BasicDerivative Formulas                     Oct 13 2009    1/ 11
                              Derivative Rules
              G.Pugh (VIU)                 Math121-BasicDerivative Formulas                     Oct 13 2009    2/ 11
   Assumptions
    In the following, suppose:
            c represents a constant (a fixed number)
            Thefunctions f(x) and g(x) are both differentiable. That is,
            f′(x) = lim f(x +h)−f(x)                          and         g′(x) = lim g(x +h)−g(x)
                        h→0               h                                            h→0                h
            both exist
               G.Pugh (VIU)                  Math121-BasicDerivative Formulas                        Oct 13 2009    3/ 11
   Constant Rule
             d [c] = 0
            dx
            In words: The derivative of a constant is zero
            Proof:                       d                    c −c                 0
                                        dx [c] = lim             h      = lim h = 0
                                                       h→0                  h→0
                              d h√ i 0
            Example: dx                2π =
               G.Pugh (VIU)                  Math121-BasicDerivative Formulas                        Oct 13 2009    4/ 11