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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the AROC of \(f(x) = 2x + 3\) from \(x = 1\) to \(x = 4\).
💡 Hint: Use the formula \\( \\frac{f(b) - f(a)}{b - a} \\).
Question 2
Easy
What is the IROC of \(f(x) = 3x^2\) at \(x = 1\)?
💡 Hint: Differentiate \\(f(x)\\) first.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the derivative of \(f(x) = x^2\) at \(x = 1\)?
- 1
- 2
- 4
💡 Hint: Apply the power rule.
Question 2
The IROC at a point is the slope of which line?
- Tangent Line
- Secant Line
💡 Hint: Think about how each line interacts with the curve.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function \(f(x) = e^x\), calculate the IROC at \(x = 0\).
💡 Hint: Differentiate the exponential function.
Question 2
A company's profit is modeled by \(p(x) = x^3 - 3x^2 + 4x - 2\). Determine the IROC at \(x = 1\).
💡 Hint: Apply derivative rules and evaluate correctly.
Challenge and get performance evaluation