2012年4月21日 · For a mechanical way to translate the more familiar trigonometric identities to hyperbolic function identities, use $$\cosh x=\cos(ix),\qquad \sinh x=-i\sin(ix).$$ But perhaps …

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2015年8月8日 · I need to show that $\cosh^4(x)-\sinh^4(x) = \cosh(2x)$ First I found myself going in circles.. $$\cosh (2 x)=\frac{1}{2} \left(e^{-2 x}+e^{2 x}\right)= \sinh(2x)$$

What is the derivative of cosh (4x) ? What is the first derivative of cosh (4x) ?

EDIT: $\cosh(4x) = \dfrac{1}{2} e^{4x} + \dfrac{1}{2} e^{-4x}$. When $r$ is not a root of the characteristic polynomial, $a y'' + b y' + c y = e^{r x}$ has a solution $\dfrac{e^{rx}}{a r^2 + b r …

What is the derivative of ln (cosh (4x)) ? What is the first derivative of ln (cosh (4x)) ?

There are 2 steps to solve this one. a. We have, the given function. Not the question you’re looking for? Post any question and get expert help quickly. Answer to a. Find the derivative. f …

本文介绍了coshx的倍角公式及其推导过程。 倍角公式的应用可以帮助我们更方便地求解双曲函数的值，解决一些与三角函数相关的数学问题。 通过掌握倍角公式的推导过程和应用，我们能 …

\int \cosh^4x\mathrm{d}x=\int \cosh^3x\mathrm{d}(\sinh x)=\bbox[#CFF,5px]{\int p^3\mathrm{d}q} 后面就可以用双元递推式了，公式及其证明参考：

Learn how to solve differential calculus problems step by step online. Find the derivative of cosh(4x). Taking the derivative of hyperbolic cosine. The derivative of the linear function times …