Derivatives: Problem Solving

Temperature-Dependent Growth of Brook Trout

The growth of brook trout is closely influenced by water temperature. Experimental data demonstrate how trout weight changes over a 24-day period in response to varying water temperatures. At lower temperatures, such as 15.5 degrees Celsius, brook trout show significant weight ...

Consider that water temperature has affected the growth rate of brook trout. The amount of weight it gained over a fixed period at various water temperatures is tabulated. The response of the growth rate to temperature changes is estimated using derivatives.

At the first data point, the derivative is approximated using the slope of a forwa...