By definition, the average rate of change from x = 0 {\displaystyle x=0} to x = 10 {\displaystyle x=10} is
f ( 10 ) − f ( 0 ) 10 − 0 = 1 10 ( 10 11 − 0 ) = 1 11 {\displaystyle {\frac {f(10)-f(0)}{10-0}}={\frac {1}{10}}\left({\frac {10}{11}}-0\right)={\frac {1}{11}}} .
