Section 3.4 Derivatives as Rates of Change
Section 3.4 Derivatives as Rates of Change
Text for Section 3.4 Derivatives as Rates of Change
Learning Objectives
- Determine a new value of a quantity from the old value and the amount of change.
- Calculate the average rate of change and explain how it differs from the instantaneous rate of change.
- Apply rates of change to displacement, velocity, and acceleration of an object moving along a straight line.
- Predict the future population from the present value and the population growth rate.
- Use derivatives to calculate marginal cost and revenue in a business situation.
Videos for Section 3.4
- *NEW* Overview of Rates of Change
- Graphical Approach to Average and Instantaneous Rate of Change
- Ex: Related Rates - Find the Rate of Change of Revenue
- Ex: Determine the Intervals for Which the Slope of Tangent Lines is Positive, Negative, and Zero
- Interpret the Meaning of a Derivative Function Value (Temperature)
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