The derivative and its unit.
The quantity of oxygen that can dissolve in water depends on the temperature of the water.
The quantity of oxygen solubility S is depends on the water temperature T.
The quantity of oxygen solubility is a function of the water temperature T.
Note that, the derivative is the instantaneous rate of change of the function with respect to x
The derivative is the rate of change of quantity of oxygen solubility with respect to water temperature T.
The instantaneous rate of change is equal to .
Here is measured in milligrams per liter and is measured in centigrade.
Thus, the units are milligrams per liter per centigrade.
Therefore, the unit are .
To estimate: The value of .
Estimate the value of .
Form given Figure, it is observed that the tangent line at 16 is passing through the point .
The slope of the tangent line to the curve at 16 as follows,
Thus, the slope of the tangent line to the curve at 16 is, .
Note that, the slope of the tangent line to the curve at 16 is same .
The derivative means that the quantity of oxygen solubility decreasing at the rate of as the temperature increasing post .
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