Difference between revisions of "Coth"
From specialfunctionswiki
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=Properties= | =Properties= | ||
| − | + | [[Derivative of coth]]<br /> | |
| − | + | [[Antiderivative of coth]]<br /> | |
| − | + | [[Relationship between coth and csch]]<br /> | |
| − | + | [[Relationship between coth and cot]]<br /> | |
| − | + | [[Relationship between cot and coth]]<br /> | |
| − | + | [[Relationship between csc, Gudermannian, and coth]]<br /> | |
| − | + | [[Relationship between coth, inverse Gudermannian, and csc]]<br /> | |
=Videos= | =Videos= | ||
Revision as of 03:51, 17 June 2016
The hyperbolic cotangent is defined by $$\mathrm{coth}(z)=\dfrac{1}{\tanh(z)},$$ where $\tanh$ denotes the hyperbolic tangent function.
Plot of $\mathrm{coth}$ on $[-5,5]$.
Domain coloring of $\mathrm{coth}$.
Properties
Derivative of coth
Antiderivative of coth
Relationship between coth and csch
Relationship between coth and cot
Relationship between cot and coth
Relationship between csc, Gudermannian, and coth
Relationship between coth, inverse Gudermannian, and csc
Videos
Calculus I - Derivative of Hyperbolic Cotangent Function coth(x) - Proof
