Pochodne funkcji elementarnych:
Funkcja f(x) | Pochodna f’(x) | Uwagi |
---|---|---|
c | 0 | ![]() |
x | 1 | |
xn | nxn − 1 | ![]() |
ax + b | a | |
ax2 + bx + c | 2ax + b | |
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ex | ex | |
ax | axlna | a > 0 |
lnx | ![]() |
x > 0 |
logax | ![]() |
|
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x > 0 |
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x > 0 |
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|
sinx | cosx | |
cosx | − sinx | |
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xx | xx(1 + lnx) |