Calculus - Integration - Differentiate ... hence find problems.
Test Yourself 1 - Solutions.
Non logs. | 1. (i)
(ii) . |
2. (i) (ii) . |
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3. (i) (ii) |
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4. (i) (ii) |
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5. (i) (ii) |
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6. | |
Logarithms. | 13. (i) Differentiate y = (ln x)2.
(ii) Hence evaluate Answer.Integral = 0.5. |
14. (i) If show that
(ii) Hence or otherwise evaluate |
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15. (i) Show that .
(ii) Hence evaluate . |
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16. Differentiate loge (loge x) and hence evaluate . | |
17. | |
18. | |
Trig functions | 19. (i) Differentiate loge (cosx) with respect to x. (ii)
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20. (i) Differentiate sin2x - cos4x (ii) Hence evaluate Answer.-3/4. |
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21. . | |
22. (i) (ii) |
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23. (i) . (ii) |
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24. |