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Basic Power Rule Worksheets

Derivatives

Basic

Power Rule

1. \frac{d}{dx}(x^{2})

1. \frac{d}{dx}(x^{2})

2. \frac{d}{dx}(x^{3})

2. \frac{d}{dx}(x^{3})

3. \frac{d}{dx}(x^{-1})

3. \frac{d}{dx}(x^{-1})

4. \frac{d}{dx}(\sqrt{x})

4. \frac{d}{dx}(\sqrt{x})

5. \frac{d}{dx}(x^{\frac{1}{4}})

5. \frac{d}{dx}(x^{\frac{1}{4}})

6. \frac{d}{dx}(x^5)

6. \frac{d}{dx}(x^5)

7. \frac{d}{dx}(x^{-2})

7. \frac{d}{dx}(x^{-2})

8. \frac{d}{dx}(x^{\frac{2}{3}})

8. \frac{d}{dx}(x^{\frac{2}{3}})

9. \frac{d}{dv}(v^5)

9. \frac{d}{dv}(v^5)

10. \frac{d}{dv}(v^{-\frac{1}{3}})

10. \frac{d}{dv}(v^{-\frac{1}{3}})

Answers

Derivatives

Basic

Power Rule

1. 2x

2. 3x^{2}

3. -\frac{1}{x^{2}}

4. \frac{1}{2\sqrt{x}}

5. \frac{1}{4x^{\frac{3}{4}}}

6. 5x^{4}

7. -\frac{2}{x^{3}}

8. \frac{2}{3x^{\frac{1}{3}}}

9. 5v^{4}

10. -\frac{1}{3v^{\frac{4}{3}}}