Chain Rule Derivatives
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25 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’+u’v
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(|u|)
(u/|u|) • u’
9
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d/dx(lnu)
(1/u) • u’
10
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d/dx(e^u)
e^u • u’
11
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d/dx(loga(u))
(1/uln(a)) • u’
12
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d/dx(a^u)
a^u • lna • u’
13
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d/dx(sinu)
cosu • I’
14
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d/dx(cosu)
-sinu • u’
15
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d/dx(tanu)
sec²u • u’
16
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d/dx(cscu)
-cscucotu • u’
17
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d/dx(secu)
secutanu • u’
18
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d/dx(cotu)
-csc²u • u’
19
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d/dx(arcsinu)
(u’/sqrt(1-u²)
20
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d/dx(arccosu)
-u’/sqrt(1-u²)
21
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d/dx(arctanu)
u’/1+u²
22
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d/dx(arccscu)
-u’/(|u| • sqrt(u²-1)
23
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d/dx(arcsecu)
u’/(|u| • sqrt(u²-1)
24
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d/dx(arccotu)
-u’/(|u| • (u²+1))
25
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