calc derivative rules

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Last updated 6:21 PM on 9/22/26
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18 Terms

1
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d/dx (c)
0
2
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d/dx (x)
1
3
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d/dx (x^n)
n·x^(n-1)
4
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d/dx [f(x)·g(x)]
f'(x)g(x) + f(x)g'(x)
5
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d/dx [f(g(x))]
f'(g(x))·g'(x)
6
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d/dx [f(x)/g(x)]
[f'(x)g(x) - f(x)g'(x)] / [g(x)]^2
7
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d/dx (sin x)
cos x
8
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d/dx (cos x)
-sin x
9
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d/dx (tan x)
sec^2(x)
10
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d/dx (csc x)
-csc(x)cot(x)
11
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d/dx (sec x)
sec(x)tan(x)
12
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d/dx (cot x)
-csc^2(x)
13
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d/dx (e^x)
e^x
14
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d/dx (ln x)
1/x
15
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d/dx (log_a x)
1 / (x ln a)
16
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d/dx (a^x)
a^x · ln a
17
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d/dx (sin^-1 x)
1 / sqrt(1 - x^2)
18
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d/dx (tan^-1 x)
1 / (1 + x^2)