The following topics are immediate subtopics of Calculus.

Term: Antiderivative
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 Definition: The antiderivative of a function f is the function F, such that DF = f, where D is the derivative operator. Actually, if F is an antiderivative of f then so is F+c for any constant c, which is why ...

Term: Chain Rule
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 Definition: The chain rule is a formula for computing the derivative of the composition of two or more functions. Basically, D(f(g)) = (Df)(g)*Dg where D is the derivative operator.

Term: Definite Integral
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 Definition: A definite integral is an integral with upper and lower limits.

Term: Differential Equation
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 Definition: A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders.

Term: Differentiation
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 Definition: In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much a quantity is changing...

Term: Extreme Value Theorem
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 Definition: If a function f(x) is continuous on a closed interval [a,b], then f(x) has both a maximum and a minimum on [a,b]. If f(x) has an extremum on an open interval (a,b), then the extremum occurs at a cr...

Term: Improper Integral
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 Definition: An improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration.

Term: Indefinite Integral
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 Definition: An integral without upper and lower limits, also called an antiderivative.

Term: Inflection Point
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 Definition: An inflection point for a function is a place where the derivative is zero and where the second derivative changes sign.

Term: Integral
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 Last modified: over 4 years ago
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 Definition: An integral is a mathematical object that can be interpreted as an area or a generalization of area.