Functions - Exponential - Differentiate ... hence find.
Test Yourself 1.
All questions below depend on the exponential function.
Derivative has 1 term. |
1. (i) Differentiate .
(ii) Hence or otherwise evaluate . |
2. (i) Differentiate 2xe3x
(ii) Hence find . |
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3. (i) Differentiate .
(ii) . Answer.(e - 1)/3. |
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4. (i) Show that | |
5. | |
Derivative has 2 terms. |
6. (i) Differentiate x ex.
(ii) Hence find . |
7. (i) Show that
. (ii) Hence find . |
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8. (i) Find .
(ii) Hence evaluate . |
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9. | |
10. (i) Differentiate xe3x.
(ii) Hence find . |
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Combination of approaches (harder). |
11. |
12. |
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13. (i) Show that .
(ii) Hence find . |