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Calculus
Calculus is the mathmatical study of change. Calculus has two branches, differential calculus and integral calculus.
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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 not continuous or ...
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) to decreasing ...
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 negative of that area ...