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导数基本公式 |
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函数γ |
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c |
0 |
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cu |
cu' |
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u±υ |
u'±υ' |
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uυ |
uυ'+υu' |
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f(u) u＝φ(x) |
f'(u)φ'(x) |
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f(x) x＝φ(y) |
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xn |
nxn-1 |
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ax |
axlna |
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ex |
ex |
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lnx |
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ln|x| |
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logax |
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sinx |
cosx |
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cosx |
-sinx |
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tanx |
sec2x |
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cotx |
-csc2x |
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secx |
tgxsecx |
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cscx |
-cotxcscx |
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arcsinx |
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arccosx |
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arctanx |
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arccotx |
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arcsecx |
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arccscx |
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sinhx |
coshx |
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coshx |
sinhx |
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注：1.表中y、u、υ为x的函数，c为常数。 2.微分公式：df(x)＝f '(x)dx；df(u)＝f '(u)du＝f '(u)φ'(x)dx。 |
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