Practice Sum And Difference Rules (2.3) - Derivatives - IB 10 Mathematics – Group 5, Calculus
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Sum and Difference Rules

Practice - Sum and Difference Rules

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Differentiate \( f(x) = 2x + 4 \).

💡 Hint: Apply the constant and sum rules.

Question 2 Easy

Differentiate \( f(x) = 5x^3 + 3x \).

💡 Hint: Use the power rule.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the derivative of \( f(x) = g(x) + h(x) \)?

\\( g'(x) \\)
\\( g'(x) + h'(x) \\)
\\( g'(x) - h'(x) \\)

💡 Hint: Think about breaking down the function into its parts.

Question 2

The derivative of a constant is:

True
False

💡 Hint: Consider how constants behave in functions.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Differentiate \( f(x) = 4x^3 + 2x^2 - 6x + 7 \) and interpret the result.

💡 Hint: Apply the power rule and sum rule accordingly.

Challenge 2 Hard

Differentiate \( f(x) = sin(x) + e^x - 5 \) and analyze the nature of the results.

💡 Hint: Pay attention to how each part contributes to the derivative.

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