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  1. Taylor Series Expansion of $\tanh x$ - Mathematics Stack Exchange

    Jul 11, 2020 · I know how to find the Taylor expansion of both $\sinh x$ and $\cosh x$, but how would you find the Taylor expansion of $\tanh x$. It seems you can't just divide both the Taylor …

  2. pronunciation of sinh x, cosh x, tanh x for short [closed]

    I heard teachers say [cosh x] instead of saying "hyperbolic cosine of x". I also heard [sinch x] for "hyperboic sine of x". Is this correct? How would you pronounce tanh x? Instead of saying "

  3. machine learning - Why is tanh almost always better than sigmoid …

    Feb 26, 2018 · The tanh function on the other hand, has a derivativ of up to 1.0, making the updates of W and b much larger. This makes the tanh function almost always better as an …

  4. machine learning - tanh activation function vs sigmoid activation ...

    Generally speaking, $\tanh$ has two main advantages over a sigmoid function: It has a slightly bigger derivative than the sigmoid (at least for the area around 0), which helps it to cope a bit …

  5. Rapid approximation of $\tanh (x)$ - Mathematics Stack Exchange

    Assuming the numbers are stored in fixed point with an 8 bit fractional part then the approximation to $\tanh (x)$ should work to the limit implied by the resolution, or for arguments $\tanh^ {-1} …

  6. $n$th derivative of $\tanh$ - Mathematics Stack Exchange

    Jan 29, 2018 · It is known that $$ \tan z=\operatorname {i}\tanh (\operatorname {i}z). $$ So, from the derivative polynomial of the tangent function $\tan z$, we can derive the derivative …

  7. trigonometry - Relationship between $\tanh x$ and $\arctan x ...

    Dec 21, 2011 · The functions $\tanh x$ and $\arctan x$ have a similar graph. Is there a formula to transform $\tanh x$ to $\arctan x$?

  8. Is it possible to write $\\tan^{-1}(x)$ as a power series of …

    Jan 6, 2017 · Is it possible to write $\tan^ {-1} (x)$ as a power expansion of $\tanh (x)$? I mean can we say this? $$\tan^ {-1} (x)=\sum^ {\infty}_ {i=0} \alpha_i \tanh^i (x)$$ The power series is …

  9. How do I derive the Maclaurin series for $\\tanh(x)$?

    Jun 3, 2015 · Another option is start with the Taylor series for the inverse function, artanh artanh, which is rather easier to derive, and use the Lagrange Inversion Formula to produce the …

  10. Converting $\tanh^ {-1} {x}$ to an expression involving the natural ...

    Jan 15, 2012 · Converting $\tanh^ {-1} {x}$ to an expression involving the natural logarithm Ask Question Asked 13 years, 11 months ago Modified 7 years ago