A5.1 Derivative of Exponential Function - Goal: 0 Determine I approximate the derivative of f (x) = ax numerically and by graphing it. Recall: f'(x) = lim f(x+h)_f(x) h ) O h We can approximate it by using very small values of h: . +h foo: f(x if\") Since f(x) = a" (x+h)_ x f'OC) 2" % Instructions 1. Use the google sheet that is provided. Create a table of values for x and x+h. x 2. Calculate a table with some values for a (x+h)_ x a a h I 3. Calculate a table with some values for f (X) 3 f ' (r) f (X) 5. Create a graph on desmos for both f (x) and f ' (x) 4. Determine the ratio: 6. Record your observations. f '(x) f (I) 8. Determine an algebraic expression f. (X) . 7. What can you say about the ratio k = \f