3.2.3 - Product Rule
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Practice Questions
Test your understanding with targeted questions
Differentiate \( f(x) = x^2 ext{sin}(x) \).
💡 Hint: Identify the two functions to differentiate.
Differentiate \( f(x) = 3x^3 ext{cos}(x) \).
💡 Hint: Remember to differentiate both parts of the product.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Product Rule used for?
💡 Hint: Think about its application in calculus.
True or False: The Product Rule states that differentiation of a product is the sum of the derivatives.
💡 Hint: Recall the formula.
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Challenge Problems
Push your limits with advanced challenges
If \( f(x) = (x^2 + 1)( ext{sin}(x) + x) \), find \( f'(x) \).
💡 Hint: Remember to apply Product Rule carefully and simplify your answer.
Differentiate \( f(x) = e^x ext{cos}(2x) \).
💡 Hint: Don't forget the chain rule when dealing with \\( ext{cos}(2x) \\).
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