Practice Differentiation (4.4) - Calculus - ICSE 11 Maths
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Differentiation

Practice - Differentiation

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the derivative of the function f(x) = 5?

💡 Hint: Recall the constant rule.

Question 2 Easy

Find the derivative of f(x) = x.

💡 Hint: What happens to x as we increase it by 1?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the derivative of a function represent?

The area under the curve
The rate of change of the function
The maximum value of the function

💡 Hint: Think about how rates of change are represented mathematically.

Question 2

True or False: The derivative of a constant function is always zero.

True
False

💡 Hint: Consider what the slope looks like for a flat line.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given f(x) = 3x^2 + 6x + 9, find f'(x) and interpret its meaning.

💡 Hint: Apply the power rule to each term.

Challenge 2 Hard

For the function f(x) = x^2 sin(x), use the product rule to find the derivative.

💡 Hint: Remember how to apply the product rule in differentiation.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.