Yellow sheet derivatives
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Last updated 7:09 PM on 2/3/23
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23 Terms
1
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dc/dx
0
2
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d/dx au
a(du/dx)
3
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d/dx u^a
au^(a-1)(du/dx)
4
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d/dx (u+v) (same for -)
d/dx(u) + d/dx(v)
5
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d/dx (uv)
u(dv/dx) + v(du/dx)
6
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d/dx (u/v)
(v(du/dx - u(dv/dx)) / (v^2)
7
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d/dx sin(u)
cos(u)(du/dx)
8
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d/dx cos(u)
\-sin(u)(du/dx)
9
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d/dx tan(u)
sec^2(u)(du/dx)
10
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d/dx cot(u)
\-csc^2(u)(du/dx)
11
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d/dx sec(u)
sec(u)tan(u)(du/dx)
12
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d/dx csc(u)
\-csc(u)cot(u)(du/dx)
13
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d/dx ln(u)
(1/u)(du/dx)
14
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d/dx e^u
(e^u)(du/dx)
15
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d/dx a^u
(a^u)(ln(a))(du/dx)
16
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d/dx arcsin(u)
(1/sqrt(1 - u^2))(du/dx)
17
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d/dx arccos(u)
\-(1/sqrt(1 - u^2))(du/dx)
18
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d/dx arctan(u)
(1/(1 + u^2))(du/dx)
19
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d/dx arccot(u)
\-(1/(1 + u^2))(du/dx)
20
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d/dx arcsec(u)
(1/|u|sqrt((u^2) - 1))(du/dx)
21
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d/dx arccsc(u)
\-(1/|u|sqrt((u^2) - 1))(du/dx)
22
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d/dx logbase(a)(u)
(1/(uln(a))(du/dx)
23
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d/dx (a^x)/(ln(a))
a^x
