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Advanced Higher Order Worksheets - 下载免费 PDF

导数

Advanced

Higher Order

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

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

2. \frac{d^{3}}{dx^{3}}(6x^{3}-4x^{4})

2. \frac{d^{3}}{dx^{3}}(6x^{3}-4x^{4})

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

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

4. \frac{d^{3}}{dx^{3}}e^{x^2}

4. \frac{d^{3}}{dx^{3}}e^{x^2}

5. \frac{d^4}{dy^4}(a^y)

5. \frac{d^4}{dy^4}(a^y)

6. \frac{d^{4}}{dx^{4}}(\frac{x-2}{x-3})

6. \frac{d^{4}}{dx^{4}}(\frac{x-2}{x-3})

7. \frac{d^{4}}{dx^{4}}\ln(x^{2}+1)

7. \frac{d^{4}}{dx^{4}}\ln(x^{2}+1)

8. \frac{d^{4}}{dx^{4}}(e^{-x^2})

8. \frac{d^{4}}{dx^{4}}(e^{-x^2})

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

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

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

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

Answers

导数

Advanced

Higher Order

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

2. 36-96x

3. nx^{n-3}(n-1)(n-2)

4. 2(4e^{x^{2}}x^{3}+6e^{x^{2}}x)

5. a^{y}\ln^{4}(a)

6. \frac{24}{(x-3)^{5}}

7. -\frac{12(x^{4}-6x^{2}+1)}{(x^{2}+1)^{4}}

8. -2(-8e^{-x^{2}}x^{4}+24e^{-x^{2}}x^{2}-6e^{-x^{2}})

9. \frac{32e^{2x}(-26e^{2x}-66e^{4x}-26e^{6x}-e^{8x}-1)}{(e^{2x}-1)^{6}}

10. \frac{3(8x^{4}+24x^{2}+3)}{(1-x^{2})^{\frac{9}{2}}}