Practice Chain Rule - 3.2.5 | 3. Calculus | ICSE 12 Mathematics | Allrounder.ai
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Chain Rule

3.2.5 - Chain Rule

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Differentiate \( f(x) = \cos(3x^2 + 2) \).

💡 Hint: Identify both outer and inner functions correctly.

Challenge 2 Hard

Find the derivative of \( f(x) = \sqrt{4x + \sin(x)} \).

💡 Hint: Remember to apply the Chain Rule to the square root.

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