Αποτελέσματα Αναζήτησης
10 Ιουλ 2024 · Omni's hyperbolic sine calculator is very straightforward to use: just enter the argument x, and the value of sinh(x) will appear immediately! And you can calculate inverse sinh as well! Just fill in the field sinh(x), and the value that appears as x is exactly the value of the inverse function. And this is not all!
If x = sinh y, then y = sinh-1 a is called the inverse hyperbolic sine of x. Similarly we define the other inverse hyperbolic functions. The inverse hyperbolic functions are multiple-valued and as in the case of inverse trigonometric functions we restrict ourselves to principal values for which they can be considered as single-valued.
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Definition 4.11.1 The hyperbolic cosine is the function coshx = ex + e − x 2, and the hyperbolic sine is the function sinhx = ex − e − x 2. . Notice that cosh is even (that is, cosh(− x) = cosh(x)) while sinh is odd (sinh(− x) = − sinh(x)), and coshx + sinhx = ex.
d y d x = 1 cosh y = 1 1 + sinh 2 y = 1 1 + x 2. d y d x = 1 cosh y = 1 1 + sinh 2 y = 1 1 + x 2. We can derive differentiation formulas for the other inverse hyperbolic functions in a similar fashion.
25 Σεπ 2020 · sinh(-x) = -sinh(x); cosh(-x) = cosh(x); tanh(-x) = -tanh(x). Their ranges of values differ greatly from the corresponding circular functions: cosh(x) has its minimum value of 1 for x = 0, and tends to infinity as x tends to plus or minus infinity;
