Tables of Formulas for Derivatives
A table of formulas for the first derivatives of common functions used in mathematics is presented.
f(x)
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d [f(x)] / dx
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x n
|
n x n - 1
|
e x
|
e x
|
ln (x)
|
1 / x
|
sin x
|
cos x
|
cos x
|
- sin x
|
tan x
|
sec 2x
|
cot x
|
- csc 2x
|
sec x
|
sec x tan x
|
csc x
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- csc x cot x
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arcsin x
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1 / √ (1 - x 2)
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arccos x
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- 1 / √ (1 - x 2)
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arctan x
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1 / (1 + x 2)
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sinh x
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cosh x
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cosh x
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sinh x
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tanh x
|
sech 2 x
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coth x
|
- csch 2 x
|
sech x
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- sech x tanh x
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csch x
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- csch x coth x
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arcsinh x
|
1 / √ [x 2 + 1 ]
|
arccosh x
|
1 / √ [x 2 - 1 ]
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arctanh x
|
1 / [ 1 - x 2 ]
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More on differentiation and derivatives
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Find Derivatives of Rational Functions - Calculators
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