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Basic Product Rule Worksheets

Derivatives

Basic

Product Rule

1. \frac{d}{dt}(5t(2t+3))

1. \frac{d}{dt}(5t(2t+3))

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

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

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

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

4. \frac{d}{dx}((2-3x)(x^2+5x-1))

4. \frac{d}{dx}((2-3x)(x^2+5x-1))

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

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

6. \frac{d}{dx}((x-4)(x+5))

6. \frac{d}{dx}((x-4)(x+5))

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

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

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

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

9. \frac{d}{dx}((x+1)(x-1))

9. \frac{d}{dx}((x+1)(x-1))

10. \frac{d}{dx}((11x+2)(16-20x+x^{5}))

10. \frac{d}{dx}((11x+2)(16-20x+x^{5}))

Answers

Derivatives

Basic

Product Rule

1. 5(4t+3)

2. 1

3. \frac{15x^{\frac{3}{2}}}{2}

4. -9x^{2}-26x+13

5. 2(3x^{2}-1)

6. 2x+1

7. 2(2x-3)

8. 6x^{2}+4x

9. 2x

10. 66x^{5}+10x^{4}-440x+136