# Mathematics

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# Most Popular Courses

## Recently added courses

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On Demand

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 the line tangent to...

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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 now differentiate....

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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, situations. Also learn how to...

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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 a function increases...

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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 accumulation of 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 and represent...

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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 14 segments:Finding the average value...

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This course contains 13 segments:Average vs. instantaneous rate of changeSecant linesDerivative definitionEstimating derivativesDifferentiabilityPower ruleDerivative rules: constant, sum, difference,...

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This course contains 12 segments:Chain ruleMore chain rule practiceImplicit differentiationImplicit differentiation (advanced examples)Differentiating inverse functionsDerivatives of inverse...

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This course contains 8 segments:Meaning of the derivative in contextStraight-line motionNon-motion applications of derivativesIntroduction to related ratesSolving related rates problemsApproximation...