Calculus - Differentiation - the Product Rule.
Test Yourself 1 - Solutions.
Remember: | 1. Write the terms in order. |
2. Write the derivatives under. | |
3. Start with the top right term and cross-multiply. | |
4. Write down a + sign. | |
5. Continue starting with the top right term and cross-multiply. | |
6. Tidy up to make result look beautiful. |
1. y = 3x4 (2x - 5)
Either: expand or do the product rule:
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2.
Either: expand or do the product rule: |
3. y = x (2x + 4)4 | 4. s = t3 (3t + 1)3
or combine the two terms: s=(3t2 + t)3 |
5. | 6. |
7. | 8. |
9. | 10. |
11. | 12. |
13. | 14. |