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Present the graphs of the hyperbolic functions and their properties such as domain , range and asymptotes.
- Differentiation of Hyperbolic Functions
Formulas and examples, with detailed solutions, on the...
- Differentiation of Hyperbolic Functions
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Learn everything you need to know about tanh with graphs, formulas, examples, and more.
There are six hyperbolic functions are sinh x, cosh x, tanh x, coth x, sech x, csch x. In this article, we will define these hyperbolic functions and their properties, graphs, identities, derivatives, etc. along with some solved examples.
Like in this example from the page arc length: Other Hyperbolic Functions. From sinh and cosh we can create: Hyperbolic tangent "tanh" (pronounced "than"): tanh(x) = sinh(x) cosh(x) = e x − e-x e x + e-x. tanh vs tan . Hyperbolic cotangent: coth(x) = cosh(x) sinh(x) = e x + e-x e x − e-x . Hyperbolic secant: sech(x) = 1 cosh(x) = 2 e x + e-x
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In this video we shall define the three hyperbolic functions f(x) = sinh x, f(x) = cosh x and f(x) = tanh x. We shall look at the graphs of these functions, and investigate some of their properties. 2. Defining f (x) = cosh x. The hyperbolic functions cosh x and sinh x are defined using the exponential function ex. We shall start with cosh x.
