The relation between the magnitude of a sensation y and the

Question

Stimulus-response

The relation between the magnitude of a sensation y and the magnitude of the stimulus x is given by

y = k(x - x₀)ⁿ

where k is a constant, x₀ is the threshold of effective stimulus, and n depends on the type of stimulus. Find the rate of change of sensation with respect to the amount of stimulus for each of Problem.

For the stimulus of visual brightness y = k(x - x₀)^1/3