In mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common use: inverse hyperbolic …

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反双曲函数是双曲函数的反函数。 记为（arsinh、arcosh、artanh等等）。 与 反三角函数 不同之处是它的前缀是ar意即area (面积)，而不是arc (弧)。 因为双曲角是以双曲线、通过原点直线 …

Apr 8, 2025 · The inverse hyperbolic sine (Beyer 1987, p. 181; Zwillinger 1995, p. 481), sometimes called the area hyperbolic sine (Harris and Stocker 1998, p. 264) is the multivalued …

求导范例： 设 θ = arsinh x，则： 使用 分部积分法 和上面的简单导数很容易得出它们。 ^ 双曲余弦函数是偶函数，所以对于一个y值（y>1），都有两个x值与之对应，取反的时候只取一个（ …

该页面介绍了双曲函数与反双曲函数的一些公式。

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Nov 4, 2024 · Inverse hyperbolic functions are the inverse functions of the hyperbolic sine, cosine, tangent, and other hyperbolic functions. They are used to solve equations involving hyperbolic …

Apr 26, 2023 · Let x ∈R x ∈ R be a real number. Let arsinh x arsinh x denote the inverse hyperbolic sine of x x. Then: For all x ∈ R x ∈ R we have that cosh y ≥ 1 cosh y ≥ 1. Thus it …

What is the first derivative of arcsinh (x) ?