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Integrals of Trigonometric Functions
·
Integrals of Hyperbolic Functions
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Integrals of Exponential and Logarithmic Functions
·
Integrals of Simple Functions
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Derivatives of Trigonometric Functions
Additional Formulas
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Derivatives Functions
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Derivatives Basic
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Integrals of Simple Functions
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Integrals of Exponential and Logarithmic Functions
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Derivatives of Simple Functions
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Math Formulas
>
Calculus
> Derivatives of Hyperbolic Functions
Derivatives of Hyperbolic Functions
Function
Derivative
sinh
x
=
cosh
x
(e
x
+e-
x
)/2
cosh
x
=
sinh
x
(e
x
-e-
x
)/2
tanh
x
sech
2
x
sech
x
-
tanh
x
∙
sech
x
csch
x
-
coth
x
∙
csch
x
coth
x
-
csch
2
x
arcsinh
x
=
sinh
-1
x
1/√(
x
2
+1)
arccosh
x
=cosh
-1
x
1/√(
x
2
-1)
arctanh
x
=
tanh
-1
x
1/(1-
x
2
)
arccoth
x
=
coth
-1
x
1/(1-
x
2
)
arccoth
x
=
coth
-1
x
-1/(
x
∙√(1-
x
2
))
arccoth
x
=
coth
-1
x
-1/(|
x
|∙√(1+
x
2
))
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