Calculus - Differentiation - the Product Rule.
Test Yourself 2.
Differentiate each of the following equations using the Product Rule with respect to the relevant pronumeral:
No rule. | 1. | 2. | |
One bracket. | 3. y = 6x (3x + 1)4 | ||
5. | 6. Given f(x) = (x + 1)(x - 1)5 find values a and b such that f '(x) = (ax + b)(x - 1)4 | ||
Two brackets - could expand but do as product rule for practice. | 7. | ||
Two brackets - higher power - proper Product Rule:) | 9. | ||
11. | |||
Two brackets - both with powers. | 13. | ||
Surds. | 15. Show that the derivative of can be expressed as |