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Analyzing problems involving rates of change in applied contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
Average rate of change word problems - Khan Academy
Wang Yan drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed. What is the approximate average fuel consumption rate, …
Average rate of change word problem: equation - Khan Academy
Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we represent the average …
Rates of change in other applied contexts (non-motion problems)
What is the instantaneous rate of change of the number of views 4 days after the video was uploaded?
Average rate of change word problem: graph - Khan Academy
Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we find the average rate of …
Average rate of change of polynomials (practice) | Khan Academy
Algebra 2 Course: Algebra 2 > Unit 1 Lesson 2: Average rate of change of polynomials Finding average rate of change of polynomials Sign of average rate of change of polynomials
Average rate of change word problem: table - Khan Academy
Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we compare the average …
Analyzing related rates problems: expressions - Khan Academy
Grasping related rates problems starts with understanding the quantities involved. In this exploration, we'll identify these quantities, match each expression with its units and values, …
Contextual applications of differentiation | Khan Academy
Derivatives describe the rate of change of quantities. This comes in handy when solving various problems that are related to rates of change in applied, real-world, situations. You'll also learn …