In logistic growth (an s-shaped curve), how does the population growth rate change as the population nears its carrying capacity?

The logistic growth curve is given by the differential equation,

When the rate of change in population approaches the maximum carrying capacity, the curve starts to flatten or become saturated.

The left hand of the differential equation becomes zero and attains a steady state equilibrium at,

Hence, at .

The right end of the logistic growth curve shows the flattening of the curve while reaching the maximum carrying capacity.

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these macromolecules could either be amino acids, proteins or nucleic acids. they are responsible for the chemical changes and reactions that affects largely the cell and its composition. take for instance the cytoplasm of the cell where these organelles are settled. these simple organelles are composed of macromolecules which ignites and catalyses different functions that enables cells, in macro-perspective in motion and metabolism. in intestines for example, metabolism happens and breaking down parts of a food to simpler compounds that are used and these nutrients delivered throughout the body and again broken down by into smaller components.

the answer is definitely a