Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Fish length Assume the length L (in cm) of a particular species of
fish after t years is modeled by the following graph.
a. What does dL>dt represent and what happens to this derivative
as t increases?
b. What does the derivative tell you about how this species of fish
grows?
c. Sketch a graph of L′ and L″.
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