Practice Power Rule (3.2.1) - Calculus

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8 questions

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6 sample questions

Question 1.
Find the derivative of f(x) = x^2.
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Use the Power Rule.
Question 2.
What is the derivative of f(x) = x^5?
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Remember to apply the Power Rule.
3Question 3.
What is the derivative of f(x) = x^7?
- 7x^6
- 6x^7
- x^6
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What do you multiply and what do you subtract in the Power Rule?
4Question 4.
True or False: The Power Rule can only be applied to positive integers.
- True
- False
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Think of negative and fractional exponents.
Question 5.
Prove that d/dx[x^n] always results in n*x^(n-1) with an example.
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Think about the limit definition and how you calculate it for power functions.
Question 6.
Combine the Power Rule with the Product Rule to differentiate f(x) = x^2 * ln(x).
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Remember the derivative of ln(x).

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