asymptote

Power functions are functions in which a variable is raised to a constant exponent, with properties that depend on the value and type of the exponent.

The arccotangent function is the inverse of the cotangent, defined for all real numbers and decreasing from π to zero.

The hyperbolic cotangent function is the ratio of the hyperbolic cosine to the hyperbolic sine, defined for all nonzero real numbers.