Verify that the function increases at a maximum rate when y L 2

Chapter 5, Problem 151

(choose chapter or problem)

Verify that the function

\(y=\frac{L}{1+ae^{-x/b}},\quad\ \ a>0,\quad\ \ b>0,\quad\ \ L>0\)

increases at a maximum rate when y = L/2.

Text Transcription:

y = L / 1 + ae^-x/b,  a > 0,  b > 0,  L > 0

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