Differentiation formulas
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Last updated 6:10 PM on 8/4/26
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21 Terms
1
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(uv)’ u=const
uv’
2
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(u+v)’
u’ + v’
3
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(uv)’
u’v + uv’
4
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(u/v)’
(u’v - uv’)/v2
5
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du/dx
du/dy x dy/dx
6
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xn
nxn-1
7
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sin x
cos x
8
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cos x
-sin x
9
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sinh x
cosh x
10
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cosh x
sinh x
11
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ex
ex
12
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eax
aeax
13
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log x
1/x
14
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ax
ax lna
15
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arcsin x
1/(1-x2)1/2
16
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arccos x
-1/(1-x2)1/2
17
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arctan x
1/(1+x2)
18
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arccot x
-1/(1+x2)
19
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tan x
sec2 x
20
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cot x
-cosec2 x
21
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loga x
(loga e)/x