Logarithmic functions - Differentiation - basic techniques.
Test Yourself 2 - Solutions.
Differentiate each of the following with respect to x:
Basic structure | 1. y = 3 ln 4
There is no term in x here - so the log expression is a constant. The derivative is therefore 0. |
2. y = loge 5xz
The bit after the log has an x term - but the 5z term is a constant - and we are differentiating only with respect to the variable x. So the derivative is . |
3. | 4. | |
5. | 6. | |
Chain rule | 7. | 8. |
9. | 10. | |
11. | 12. | |
Product rule | 13. | 14. |
15. | 16. | |
17. | 18. | |
Quotient rule | 19. | 20. |
21. | 22. . | |
23. | 24. | |
Use log laws | 25. | 26. |
27. | 28. | |
29. . | 30. |