Concept explainers
Psychologists interested in learning theory study learning curves. A learning curve is the graph of a function P(t), the performance of someone learning a skill as a function of the training time t. The derivative dP/dt represents the rate at which performance improves.
(a) When do you think P increases most rapidly? What happens to dP/dt as t increases? Explain.
(b) If M is the maximum level of performance of which the learner is capable, explain why the differential equation
is a reasonable model for learning.
(c) Make a rough sketch of a possible solution of this differential equation.
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Essential Calculus: Early Transcendentals
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