Practice Derivative Of Power Functions (power Rule) (2.2)

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the derivative of 𝑓(𝑥) = 4𝑥^2.
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Use the Power Rule: Multiply the exponent by the coefficient.
Question 2.
What is the derivative of 𝑓(𝑥) = 7𝑥^5?
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Apply the same multiplication to the exponent.
3Question 3.
What is the derivative of 𝑓(𝑥) = 8𝑥^3?
- 24𝑥^2
- 16𝑥²
- 3𝑥^2
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Multiply the exponent by the coefficient and decrease the exponent.
4Question 4.
True or False: The derivative of any constant function is equal to zero.
- True
- False
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Think about how a flat line behaves.
Question 5.
Given the function 𝑓(𝑥) = 4𝑥^5 - 2𝑥^3 + 7𝑥, find its derivative and evaluate at 𝑥 = 2.
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Remember to differentiate each term independently and then substitute.
Question 6.
Find the derivative of 𝑓(𝑥) = -3𝑥^6 + 8𝑥^2 - 4 and determine its critical points.
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Set derivative to zero for critical points and factor where needed.

5 more questions in this section. Enroll free to practise them all.