A marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by

$\displaystyle {f{{\left({t}\right)}}}={650}+{5}{{\log}_{{{5}}}{\left({t}\right)}}$

where $\displaystyle {t}$ is the number of days since the release.

Determine $\displaystyle {f}'{\left({t}\right)}=$ Preview Question 6 Part 1 of 4  

$\displaystyle {f}'{\left({14}\right)}=$ Preview Question 6 Part 2 of 4  

Which of the following is the best interpretation of $\displaystyle {f{{\left({14}\right)}}}={658}$?
Select an answer On day 2, there are 652 references. On day 658, 14 products are sold. After 14 days, there are 658 references. On day 2, 652 products are sold. On day 658, there are 14 references. On day 14, 658 products are sold.

Which of the following is the best interpretation of $\displaystyle {f}'{\left({14}\right)}$?
Select an answer On day 658, 14 products are sold. On day 2, 652 products are sold. The rate at which the number of references is increasing after 14 days On day 14, 658 products are sold. The day on which the number of reference sis increasing by 14 per day On day 658, there are 14 references. On day 2, there are 652 references.