# AP®︎ Calculus AB

Learn AP®︎ Calculus AB—everything you need to know about limits, derivatives, and integrals to pass the AP® test.

From Khan Academy 45 English Mathematics

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## Courses in this Topic

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Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a...

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The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of...

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The chain rule tells us how to find the derivative of a composite function. This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can...

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Derivatives describe the rate of change of quantities. This becomes very useful when solving various problems that are related to rates of change in applied, real-world,...

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The first and the second derivative of a function can be used to obtain a lot of information about the behavior of that function. For example, the first derivative tells us where...

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The definite integral of a function gives us the area under the curve of that function. Another common interpretation is that the integral of a rate function describes the...

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Differential equations are equations that include both a function and its derivative (or higher-order derivatives). For example, y=y' is a differential equation. Learn how to find...

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Definite integrals are all about the accumulation of quantities. Let's see how they are applied in order to solve various kinds of problems.This course contains 13...

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Watch as Sal solves free response questions from past AP Calculus exams. This is a good preparation for your upcoming exam!This course contains 3 segments:AP Calculus AB 2017 free...