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Advanced Higher Order Worksheets - 下载免费 PDF

导数

Advanced

Higher Order

1. d³dx³ (ln(x))

1. d³dx³ (ln(x))

2. d³dx³ (6x³−4x⁴)

2. d³dx³ (6x³−4x⁴)

3. d³dx³ (xⁿ)

3. d³dx³ (xⁿ)

4. d³dx³ e^x²

4. d³dx³ e^x²

5. d⁴dy⁴ (a^y)

5. d⁴dy⁴ (a^y)

6. d⁴dx⁴ (x−2x−3 )

6. d⁴dx⁴ (x−2x−3 )

7. d⁴dx⁴ ln(x²+1)

7. d⁴dx⁴ ln(x²+1)

8. d⁴dx⁴ (e^−x²)

8. d⁴dx⁴ (e^−x²)

9. d⁵dx⁵ (1e^2x−1 )

9. d⁵dx⁵ (1e^2x−1 )

10. d⁵dx⁵ (sin⁻¹x)

10. d⁵dx⁵ (sin⁻¹x)

Answers

导数

Advanced

Higher Order

1. 2x³

2. 36−96x

3. nxⁿ⁻³(n−1)(n−2)

4. 2(4e^x²x³+6e^x²x)

5. a^yln⁴(a)

6. 24(x−3)⁵

7. −12(x⁴−6x²+1)(x²+1)⁴

8. −2(−8e^−x²x⁴+24e^−x²x²−6e^−x²)

9. 32e^2x(−26e^2x−66e^4x−26e^6x−e^8x−1)(e^2x−1)⁶

10. 3(8x⁴+24x²+3)(1−x²)⁹²