Derivatives
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21 Terms
1
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Sin x
Cos x
2
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Sec x
Sec x tan x
3
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Tan x
Sec^2 x
4
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Cos x
-sin x
5
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Csc x
-csc x cot x
6
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Cot x
-csc^2 x
7
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arcsin x
1/√(1-x^2)
8
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arccos x
-1/√(1-x^2)
9
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arctan x
1/(1+x^2)
10
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arcsec x
1/|x|√x^2-1
11
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arccsc x
-1/|x|√x^2-1
12
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arccot x
-1/(1+x^2)
13
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e^x
e^x
14
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ln x
1/x
15
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a^x
a^xlna
16
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logva(x)
1/xlna
17
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f^-1(x)
1/f'(f^-1(x))
18
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Chain rule
f'(g(x))g'(x)
19
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Product Rule
f'(x)g(x)+f(x)g'(x)
20
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Quotient rule
g(x)f'(x)-f(x)g'(x)/g(x)^2
21
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g'(x) (when g(x) is the inverse of f(x))
1/f'(g(x))