Practice Derivative Rules - 3.2 | Chapter 3: Calculus | ICSE Class 12 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Differentiate f(x) = x^5.

πŸ’‘ Hint: Use the power rule.

Question 2

Easy

Differentiate f(x) = x + 2.

πŸ’‘ Hint: What is the derivative of a constant?

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^4?

  • 4x^3
  • 3x^4
  • x^3

πŸ’‘ Hint: Think about how many times you drop the exponent.

Question 2

The derivative of a constant is zero. (True/False)

  • True
  • False

πŸ’‘ Hint: Remember the definition of a derivative.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Differentiate the function f(x) = (3x^2 + 2)/(x+1) using the Quotient Rule.

πŸ’‘ Hint: Apply the quotient rule correctly.

Question 2

Find the derivative for f(x) = sin(sin(x^2)).

πŸ’‘ Hint: Identify multiple layers in the chain rule.

Challenge and get performance evaluation