Calculus - Differentiation - the Chain Rule.
Test Yourself 1 - Solutions.
Solutions to each of the 24 questions are provided below.
Basic functions: | 1. This solution is written out step by step to echo the steps outlined in the video. | 2. |
3. |
4. | Additional comment.We have a, b, m and x. We need to differentiate with respect to x.|
Index terms inside the brackets: |
5. | 6. |
7. | 8. | |
9. |
10. |
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Terms in denominator: | 11. | 12. |
13. | 14. | |
15. | 16. | |
Terms enclosed in radicals: | 17. | 18. |
19. | 20. | |
21. | 22. | |
23. | 24. |
You need to aim at getting all the first 10 questions correct. They ensure you have the basic technique in place. If you did not attain 10/10, re-read the solutions and comments and then redo those questions.
The remaining 14 questions include variations around the basic technique especially related to the algebra. A good mark would be 11 out of 14 correct - but again re-read and re-do. With practice of these, you will get 14/14 - if not better!!
If you can do these 24 questions correctly, you will ace the exam questions:)