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Basic Quotient Rule Worksheets - Загрузите бесплатные PDF-файлы

Производные

Basic

Правило частного

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

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

2. \frac{d}{dx}(\frac{3x+9}{2-x})

2. \frac{d}{dx}(\frac{3x+9}{2-x})

3. \frac{d}{dx}(\frac{7x+4}{3x+2})

3. \frac{d}{dx}(\frac{7x+4}{3x+2})

4. \frac{d}{dx}(\frac{4x-7}{x^2+5x})

4. \frac{d}{dx}(\frac{4x-7}{x^2+5x})

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

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

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

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

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

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

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

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

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

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

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

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

Answers

Производные

Basic

Правило частного

1. \frac{2}{(x+1)^{2}}

2. \frac{15}{(2-x)^{2}}

3. \frac{2}{(3x+2)^{2}}

4. \frac{-4x^{2}+14x+35}{(x^{2}+5x)^{2}}

5. \frac{9x^{2}+5x-4}{2x\sqrt{x}}

6. \frac{1}{(x+1)^{2}}

7. -\frac{2}{(x-1)^{2}}

8. -\frac{1}{6x^{\frac{3}{2}}}

9. \frac{8x^{2}+24x-8}{(2x+3)^{2}}

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