A useful model for the production p(x) of blood cells involves a function of the form

where x is the number of cells present, and A, B, and m are positive constants.^†

a. Find the rate of blood production R(x) = p'(x), and determine where R(x) = 0.

b. Find the rate at which R(x) is changing with respect to x, and determine where R'(x) = 0.

c. If m > 1, does the nonzero critical number you found in part (b) correspond to a relative maximum or a relative minimum? Explain.

Transcribed Image Text:

p(x) Ax B+xm