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

critical point

Mathematics; Calculus

A critical point of a function is a point ( x, f(x )) with x in the domain of the function and either f'(x ) =; 0 or f'(x ) undefined. Critical points are among the candidates ...

implicit differentiation

Mathematics; Calculus

A procedure for finding the derivative of a function which has not been given explicitly in the form " f(x ) =;".

instantaneous rate of change

Mathematics; Calculus

One way of interpreting the derivative of a function is to understand it as the instantaneous rate of change of that function, the limit of the average rates of change between a ...

instantaneous velocity

Mathematics; Calculus

One way of interpreting the derivative of a function s(t ) is to understand it as the velocity at a given moment t of an object whose position is given by the function s(t ).

integration by parts

Mathematics; Calculus

One of the most common techniques of integration, used to reduce complicated integrals into one of the basic integration forms.

intercept form

Mathematics; Calculus

The intercept form for the equation of a line is x/a + y/b =; 1, where the line has its x -intercept (the place where the line crosses the x -axis) at the point ( a ,0) and ...

limit

Mathematics; Calculus

A function f(x ) has the value L for its limit as x approaches c if as the value of x gets closer and closer to c , the value of f(x ) gets closer and closer to L .