Practice Sum Rule - 3.2.2 | 3. Calculus | ICSE 12 Mathematics | Allrounder.ai
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Sum Rule

3.2.2 - Sum Rule

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Differentiate f(x) = x + 5.

💡 Hint: What is the derivative of a constant?

Question 2 Easy

Differentiate f(x) = 3x^2 + 4

💡 Hint: Use the power rule first.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the derivative of f(x) = x^2 + x?

2x + 1
x^2 + 1
2x + 2

💡 Hint: Differentiate each term separately.

Question 2

The Sum Rule states that the derivative of a sum of functions is:

True
False

💡 Hint: Recap what we learned about the Sum Rule.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Differentiate the function f(x) = 5x^4 + 4x^3 - 3x + 7.

💡 Hint: Apply the Sum Rule to each term.

Challenge 2 Hard

Find the derivative of f(x) = 3sin(x) + 5cos(x) + 7x^2.

💡 Hint: Remember to differentiate each term using known derivatives.

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