Question

Hermann Ebbinghaus (1850-1909) pioneered the study of memory. A 2011 article in the Journal of Mathematical Psychology presents the mathematical model R(t) = a + b(1 + ct)^{-?} for the Ebbinghaus forgetting curve, where R(t) is the fraction of memory retained t days after learning a task; a, b and c are experimentally determined constants between 0 and 1; ? is a positive constant; and R(0) = 1. The constants depend on the type of task being learned. What is the rate of change of retention t days after a task is learned? Justify your answer.

          Hermann Ebbinghaus (1850-1909) pioneered the study of memory. A 2011 article in the Journal of Mathematical Psychology presents
the mathematical model
R(t) = a + b(1 + ct)^{-?}
for the Ebbinghaus forgetting curve, where R(t) is the fraction of memory retained t days after learning a task; a, b and c are
experimentally determined constants between 0 and 1; ? is a positive constant; and R(0) = 1. The constants depend on the type of
task being learned. What is the rate of change of retention t days after a task is learned? Justify your answer.

$Hermann Ebbinghaus (1850-1909) pioneered the study of memory. A 2011 article in the Journal of Mathematical Psychology presents the mathematical model R(t) = a + b(1 + ct)^-? for the Ebbinghaus forgetting curve, where R(t) is the fraction of memory retained t days after learning a task; a, b and c are experimentally determined constants between 0 and 1; ? is a positive constant; and R(0) = 1. The constants depend on the type of task being learned. What is the rate of change of retention t days after a task is learned? Justify your answer.$

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