Practice Basic Differentiation Rules (4.5) - Calculus - ICSE 11 Maths
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Basic Differentiation Rules

Practice - Basic Differentiation Rules

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the derivative of a constant function f(x) = 7?

💡 Hint: Remember the Constant Rule.

Question 2 Easy

Calculate the derivative of f(x) = x^2.

💡 Hint: Use the Power Rule.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the derivative of f(x) = 4?

4
0
-4

💡 Hint: Think about the Constant Rule.

Question 2

Using the Power Rule, what is the derivative of f(x) = x^2?

2x
x
2

💡 Hint: Remember the form x^n becomes nx^(n-1).

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Differentiate the function f(x) = 6x^4 + 2x^3 - 3x + 1.

💡 Hint: Use the Power Rule on each term.

Challenge 2 Hard

If h(x) = 2x^3 + 4x + 1 and j(x) = 3x^2 - 5, find the derivative of k(x) = h(x) - j(x).

💡 Hint: Apply the Difference and Sum Rules appropriately.

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