Derivitive rules
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Last updated 1:07 AM on 9/8/26
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22 Terms
1
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d/dx[cu]
[cu’]
2
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d/dx[u±v]
u’±v’
3
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d/dx[uv]
uv’+vu’
4
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d/dx[u/v]
vu’-uv’/v²
5
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d/dx[c]
0
6
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d/dx[u^n]
nu^(n-1)u’
7
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d/dx[x]
1
8
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d/dx[Inu]
u’/u
9
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d/dx[e^u]
e^(u)u’
10
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d/dx[sinu]
(cosu)u’
11
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d/dx[cosu]
-(sinu)u’
12
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d/dx[tanu]
(sec²u)u’
13
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d/dx[cotu]
-(csc²u)u’
14
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d/dx[sec u]
(secu tanu)u’
15
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d/dx[cscu]
- (cscu cotu)u’
16
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d/dx[sin^-1u]
u’/√1-u²
17
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d/dx[cos^-1u]
-u’/√1-u²
18
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d/dx[tan^-1u]
u’/1+u²
19
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d/dx[cot^-1u]
-u’/1+u²
20
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d/dx[sec^-1u]
u’/|u|√u²-1
21
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d/dx[csc^-1u]
-u’/|u|√u²-1
22
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d/dx[a^u]
(Ina)a^uu’