Calculus

Calculus

Calculus is the mathmatical study of change. Calculus has two branches, differential calculus and integral calculus.

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Calculus

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 ].

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.

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 not continuous or ...

Trigonometric substitution

Mathematics; Calculus

A technique of integration where a substitution involving a trigonometric function is used to integrate a function involving a radical.

Substitution

Mathematics; Calculus

Integration by substitution is one of the most common techniques of integration, used to reduce complicated integrals into one of the basic integration forms.

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 to be maximum or ...