1.1 - Introduction
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Practice Questions
Test your understanding with targeted questions
Define calculus in your own words.
💡 Hint: Think about the types of problems calculus helps solve.
What does the derivative represent?
💡 Hint: Consider how quickly something changes over time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does calculus primarily study?
💡 Hint: Think about what the title of this chapter suggests.
True or False: The derivative of a function can tell us whether that function is increasing or decreasing.
💡 Hint: Consider the relationship between derivatives and the slopes of graphs.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A company wants to find the optimal price for their new product. If the demand function is given by D(x) = 100 - 2x and revenue R(x) is calculated as R(x) = xD(x), determine the price that maximizes revenue.
💡 Hint: Evaluate using derivatives to find revenue maximization.
A farmer has 100 meters of fencing for a rectangular field. Express the area as a function of one side and use calculus to maximize the area.
💡 Hint: Consider how changing one dimension affects the overall area.
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Reference links
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