of f(x), without assuming= we know the rule for d/dx [a^x] that we have stated and used in earlier
work in this section.
f ‘ (x) = lim a^x. a^h – a^x/h
= ; h–>0
b)Explain why it is also true that
f ‘ (x)= a^x lim = a^h-1/h
&nb= sp; h–>0
L = lim a^h-1/h
<= br>D)Note that it would be ideal if the value of the limit L was 1, for the= n f would be a
particularly special function: its derivative would b= e simply a^x, which would mean
that its derivative is itself. By exp= erimenting with different values of a between 2 and
3, try to find a= value for a for which:
&nbs= p; h–>0
d/dx [2^x] an= d d/dx [2^x].