Mathematics

Mathematics

Of or pertaining to the study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.

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Mathematics > Calculus

hyperbolic trigonometry

Mathematics; Calculus

An extension of trigonometry with the standard six hyperbolic trigonometry functions defined using ''e x '' and ''e –x ''. The six functions are: sinh ''x'', cosh ''x'', tanh ...

derivative

Mathematics; Calculus

A function which calculates the slope of a curve; that is, the slope of the tangent line to the graph of the function at that point. The derivative of a function f at a point x ...

first order differential equation

Mathematics; Calculus

An differential equation in which the highest derivative is a first derivative, i.e. an ordinary differential equation of order 1. As an example, ''y' '' + ''xy'' = 1 is a first ...

explicit differentiation

Mathematics; Calculus

The process of finding the derivative of an explicitly defined function. For example, the explicit function ''y'' = ''x'' 2 – 3''x'' + 1 has derivative ''y''' = 2''x'' – 3.

absolute maximum

Mathematics; Calculus

The highest point over the entire domain of a function or relation.

axis of rotation

Mathematics; Calculus

A line about which a plane figure rotates in three dimensional space to create a solid or surface.

exponential growth

Mathematics; Calculus

A quantity growth model in which the rate of growth is directly proportional to the amount present. Exponential growth is often expressed as A = A 0 ''b'' t (where ''b'' > 1 ) or ...