3.2.1 - Power Rule
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Practice Questions
Test your understanding with targeted questions
Find the derivative of f(x) = x^2.
💡 Hint: Use the Power Rule.
What is the derivative of f(x) = x^5?
💡 Hint: Remember to apply the Power Rule.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the derivative of f(x) = x^7?
💡 Hint: What do you multiply and what do you subtract in the Power Rule?
True or False: The Power Rule can only be applied to positive integers.
💡 Hint: Think of negative and fractional exponents.
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Challenge Problems
Push your limits with advanced challenges
Prove that d/dx[x^n] always results in n*x^(n-1) with an example.
💡 Hint: Think about the limit definition and how you calculate it for power functions.
Combine the Power Rule with the Product Rule to differentiate f(x) = x^2 * ln(x).
💡 Hint: Remember the derivative of ln(x).
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Reference links
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