On Demand

Differentiation: definition and basic derivative rules

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...

Khan Academy

On Demand

Differentiation: composite, implicit, and inverse functions

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....

Khan Academy

On Demand

Contextual applications of differentiation

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...

Khan Academy

On Demand

Applying derivatives to analyze functions

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...

Khan Academy

On Demand

Integration and accumulation of change

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...

Khan Academy

On Demand

Differential equations

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...

Khan Academy

On Demand

Applications of integration

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...

Khan Academy

On Demand

Derivatives: definition and basic rules

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

Khan Academy

On Demand

Derivatives: chain rule and other advanced topics

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

Khan Academy

On Demand

Applications of derivatives

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

Khan Academy