Practice Constant Multiple Rule (2.4) - Derivatives - IB 10 Mathematics – Group 5, Calculus
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Constant Multiple Rule

Practice - Constant Multiple Rule

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the derivative of f(x) = 7x^5.

💡 Hint: Use the power rule along with the constant.

Question 2 Easy

Find the derivative of f(x) = 2x.

💡 Hint: What is the derivative of a linear function?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the derivative of f(x) = 12x^7?

84x^6
12x^6
96x^7

💡 Hint: Use the power rule for differentiation.

Question 2

Is the derivative of a constant function equal to zero?

True
False

💡 Hint: Think about how constant functions behave!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given f(x) = 8x^3 - 5x and you need to find the derivative. What process do you use to arrive at your answer?

💡 Hint: Focus on breaking it down term by term!

Challenge 2 Hard

For the function f(x) = 15sin(x) + 4x^2, calculate the derivative.

💡 Hint: Use the derivative rules for both trigonometric functions and polynomial terms.

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