Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one slope on each side of each point and average answers. (Example: slope between -0.1 and 0 and slop between 0.1 and 0). You must use instantaneous rate of change calculations. Based on the chart, determine the equation of the derivative function. X 0 1 2 3 f'(x)
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:
Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one slope on each side of each point and average answers. (Example: slope between -0.1 and 0 and slop between 0.1 and 0). You must use instantaneous rate of change calculations. Based on the chart, determine the equation of the derivative function.
| X | 0 | 1 | 2 | 3 |
| f'(x) |
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