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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Differentiate \( f(x) = (x^3 + 2)^5 \).
💡 Hint: Identify the inner function first.
Question 2
Easy
Find the derivative of \( f(x) = \sqrt{2x + 1} \).
💡 Hint: Use the Chain Rule with the square root as the outer function.
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 Chain Rule used for?
- To integrate functions
- To differentiate composite functions
- To simplify equations
💡 Hint: Think about how functions relate to one another.
Question 2
True or False: The derivative of \( f(x) = \sin(2x) \) using Chain Rule is \( \cos(2x) \times 2 \).
- True
- False
💡 Hint: Remember the formula for the derivative of sine.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Differentiate \( f(x) = \cos(3x^2 + 2) \).
💡 Hint: Identify both outer and inner functions correctly.
Question 2
Find the derivative of \( f(x) = \sqrt{4x + \sin(x)} \).
💡 Hint: Remember to apply the Chain Rule to the square root.
Challenge and get performance evaluation