Practice - Derivative of Power Functions (Power Rule)
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Practice Questions
Test your understanding with targeted questions
Find the derivative of 𝑓(𝑥) = 4𝑥^2.
💡 Hint: Use the Power Rule: Multiply the exponent by the coefficient.
What is the derivative of 𝑓(𝑥) = 7𝑥^5?
💡 Hint: Apply the same multiplication to the exponent.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the derivative of 𝑓(𝑥) = 8𝑥^3?
💡 Hint: Multiply the exponent by the coefficient and decrease the exponent.
True or False: The derivative of any constant function is equal to zero.
💡 Hint: Think about how a flat line behaves.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function 𝑓(𝑥) = 4𝑥^5 - 2𝑥^3 + 7𝑥, find its derivative and evaluate at 𝑥 = 2.
💡 Hint: Remember to differentiate each term independently and then substitute.
Find the derivative of 𝑓(𝑥) = -3𝑥^6 + 8𝑥^2 - 4 and determine its critical points.
💡 Hint: Set derivative to zero for critical points and factor where needed.
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