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

differentiable

Mathematics; Calculus

A function is said to be differentiable at a point when the function's derivative exists at that point. A function will fail to be differentiable at places where the function is ...

extreme value theorem

Mathematics; Calculus

A theorem stating that a function which is continuous on a closed interval [ a, b ] must have a maximum and a minimum value on [ a, b ].

first derivative test for local extrema

Mathematics; Calculus

A method used to determine whether a critical point of a function is a local maximum or local minimum. If a continuous function changes from increasing (first derivative positive) ...

general antiderivative

Mathematics; Calculus

If F(x ) is an antiderivative of a function f(x ), then F(x ) + C is called the general antiderivative of f(x ).

general form

Mathematics; Calculus

The general form (sometimes also called standard form) for the equation of a line is ax + by =; c , where a and b are not both zero.

higher order derivatives

Mathematics; Calculus

The second derivative, third derivative, and so forth for some function.

Riemann sum

Mathematics; Calculus

A Riemann sum is a sum of several terms, each of the form f ( x i )Δ x , each representing the area below a function f ( x ) on some interval if f ( x ) is positive or the ...