The Definition of e and the Derivative of ex |
f ' (x) = |
|
| = ax |
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|
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| (ax ) = ax ? |
|
| = 1 |
|
| ≈ 1 |
h | (1 + h)1/h |
0.001 | 2.716923932 |
0.0001 | 2.718145927 |
0.00001 | 2.718268237 |
0.000001 | 2.718280469 |
0.0000001 | 2.718281694 |
0.00000001 | 2.718281798 |
e = |
| (1 + h)1/ h = 2.718... |
|
| = 1 |
| (ex ) = ex |
| (2x ) = (ln 2)2x |
| (3x ) = (ln 3)3x |
| (ax ) = (ln a)ax |