# 8.13: Fundamental Theorem of Calculus

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antiderivative

An antiderivative is a function that reverses a derivative. Function A is the antiderivative of function B if function B is the derivative of function A.derivative

The derivative of a function is the slope of the line tangent to the function at a given point on the graph. Notations for derivative include , , , and \frac{df(x)}{dx}.fundamental theorem of calculus

The fundamental theorem of calculus demonstrates that integration performed on a function can be reversed by differentiation.integral

An integral is used to calculate the area under a curve or the area between two curves.theorem

A theorem is a statement that can be proven true using postulates, definitions, and other theorems that have already been proven.### Image Attributions

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The antiderivative and an explanation of the fundamental theorem of calculus.

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Difficulty Level:

At Grade
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Date Created:

Nov 14, 2012
Last Modified:

May 26, 2016
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