This lesson includes 95 additional questions and 440 additional question variations for subscribers.
Lesson Worksheet: Average and Instantaneous Rates of Change Mathematics • Higher Education
In this worksheet, we will practice finding the average rate of change of a function between two x-values and using limits to find the instantaneous rate of change.
Q1:
Evaluate the average rate of change for the function when changes from 1 to 1.5.
Q2:
A farmβs production in kilograms as a function of the kilograms of insecticide is given by . Find the average rate of change in when varies from 13 to 17.
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Q3:
Determine the average rate of change function for at .
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Q4:
Find the average rate of change function of when .
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Q5:
Determine the average rate of change function for when changes from to .
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Q6:
Suppose a population is as a function of time . What is the average rate of growth of this population when changes from to ?
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Q7:
For a function , the average rate of change between a fixed point and another point is . Given that , find when .
Q8:
Evaluate the instantaneous rate of change of at .
Q9:
Find the instantaneous rate of change of at .
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Q10:
The biomass of a bacterial culture in milligrams as a function of time in minutes is given by . What is the instantaneous rate of growth of the culture when ?