| 3 ( x + h)2 − 5*(x + h) − 3 x2 + 5x | 6 x*h + 3 h2 − 5 h | ||
= | = 6 x + 3 h − 5 | ||
| h | h |
| (3(x+h)2−5(x+h)−3x2+5x) | 3x2+6xh+3h2−5x−5h−3x2+5x | |||
f'(x) = lim przy h−> 0 | = lim | = | ||
| h | h |
| 3h2+6xh−5h | h(3h+6x−5) | |||
lim | =lim | = 6x−5 | ||
| h | h |
| f(x + h)− f(x) | ||
f '(x) = lim | ||
| h |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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