Find the average rate of change for the equation [1,6] f(x)=-ln(x)

The average rate of change for a function f(x) at two different values of x can be calculated by the following formula:



We are to find the find the average rate of change of given function over the range [1,6], so,



Using the values in above formula, we get:



Thus the average rate of change for f(x) = -ln(x) for the interval [1,6] is given by the above expression