0. Please show work and explain what you did. Thanks. Best answer. 100% (2 ratings). The derivative of cosh is sinh, and the derivative of sinh is cosh. y = Acosh(CX) + Bsinh(Cx) y' = ACsinh(CX) + BCcosh( Cx). This is a hyperbola. It has two branches; one branch passes through the point. ( acos c,0) while the other passes through the point (−acos c,0). For c ∈ (0, π/4), we see that both x and y are positive, thus it lies in the first quadrant, and c = constant represents the half branch in the first quadrant. Similarly, one can find that for v."> 0. Please show work and explain what you did. Thanks. Best answer. 100% (2 ratings). The derivative of cosh is sinh, and the derivative of sinh is cosh. y = Acosh(CX) + Bsinh(Cx) y' = ACsinh(CX) + BCcosh( Cx). Jan 10, 2018 The Math.acosh() function returns the hyperbolic arc-cosine of a number, that is.">

Acosh Math Homework

The function returns the hyperbolic arc-cosine of a number, that is

The source for this interactive example is stored in a GitHub repository. If you'd like to contribute to the interactive examples project, please clone https://github.com/mdn/interactive-examples and send us a pull request.

Syntax

Parameters

A number.

Return value

The hyperbolic arc-cosine of the given number. If the number is less than 1, .

Description

Because is a static method of , you always use it as , rather than as a method of a object you created ( is no constructor).

Examples

Using

Math.acosh(-1); // NaN Math.acosh(0); // NaN Math.acosh(0.5); // NaN Math.acosh(1); // 0 Math.acosh(2); // 1.3169578969248166

For values less than 1 returns .

Polyfill

For all , we have  and so this can be emulated with the following function:

Math.acosh = Math.acosh || function(x) { return Math.log(x + Math.sqrt(x * x - 1)); };

Specifications

Browser compatibility

The compatibility table in this page is generated from structured data. If you'd like to contribute to the data, please check out https://github.com/mdn/browser-compat-data and send us a pull request.

FeatureChromeEdgeFirefoxInternet ExplorerOperaSafari
Basic support38 Yes25 No258
FeatureAndroid webviewChrome for AndroidEdge mobileFirefox for AndroidOpera AndroidiOS SafariSamsung Internet
Basic support Yes Yes Yes25 Yes8 ?
DesktopMobileServer
ChromeEdgeFirefoxInternet ExplorerOperaSafariAndroid webviewChrome for AndroidEdge MobileFirefox for AndroidOpera for AndroidiOS SafariSamsung InternetNode.js
Basic supportFull support 38Full support YesFull support 25No support NoFull support 25Full support 8Full support YesFull support YesFull support YesFull support 25Full support YesFull support 8 ? Full support Yes

Legend

Full support
Full support
No support
No support
Compatibility unknown
Compatibility unknown

See also

Math assignments are quizzes that allow you to enter math functions and certain constants.

Before you submit your assignment, you'll be able to preview your answer to see what the grader will see.

You can use basic symbols for addition (+), subtraction (-), multiplication (*), division (/), and power/exponential (^).

You need to use (*) for multiplication every time. For example, "3x" should be "3*x" instead.

Function Syntax

Math assignments accept the following basic and advanced functions.

You can enter these math functions in the form of function(value). For example, the square root of 17 should be entered as sqrt(17). The cosine function of 5x should be entered as cos(5*x).

Basic numeric functions

  • abs (absolute value)
  • max
  • min
  • mod
  • ceiling
  • floor
  • gcd (greatest common denominator; 2 arguments only, enter three or more arguments as "gcd((a, b, c, d))" or "gcd([a, b, c, d])" e.g. a list/tuple)
  • lcm (least common multiple; 2 arguments only, enter three or more arguments as "gcd((a, b, c, d))" or "gcd([a, b, c, d])" e.g. a list/tuple)
  • sign (returns -1 if negative, 0 if zero, 1 if positive)

Exponents

  • exp (exponent)
  • ln (natural logarithm, base e)
  • log (common logarithm, base 10)
  • root (2-argument, where root(a, 2) is equivalent to sqrt(a))
  • sqrt (square root)

Trigonometry

  • Basic trigonometric functions: cos, cosh, cot, coth, sin, sinh, tan, tanh
  • Trigonometric inverses: acos, acosh, acot, acoth, asin, asinh, atan, atan2 (2-argument arctangent), atanh
  • deg (converts radians to degrees)
  • rad (converts degrees to radians)

Complex numbers

  • arg (returns phase in radians of a complex number)
  • conjugate
  • im (get imaginary part of a number)
  • re (get real part of a number)

Other functions

  • erf (error function)
  • binomial

Allowed constants

Math assignments recognize the following common constants:

  • Catalan (Catalan's constant)
  • E (note uppercase)
  • EulerGamma (Euler-Mascheroni constant)
  • GoldenRatio
  • I (sqrt(-1) - note uppercase)
  • J (sqrt(-1), same as I)
  • nan
  • oo (infinity)
  • pi
  • zoo (complex infinity)

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