Textbook Problem

Data entry speed The rate of change in data entry speed of the average student is $ds/dx=5{\left(x+1\right)}^{-1/2}$, where x is the number of lessons the student has had and s is in entries per minute.

(a) Find the data entry speed as a function of the number of lessons if the average student can complete 10 entries per minute with no lessons

$(x=0)$.

(b) How many entries per minute can the average student complete after 24 lessons?