The Learning Edge

## Instantaneous Velocity, Definition of Derivative

Instantaneous Velocity, Definition of Derivative. In this video, I use the definition of the derivative to find the instantaneous velocity of a particle. I find when the velocity is 30 meters per second and also when the particle is at rest. Video Rating: / 5

## Tricky L’Hopital’s Rule problem | Derivative applications | Differential Calculus | Khan Academy

L’HÃ´pital’s Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/lhopitals-rule-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners […]

## Mean value theorem | Derivative applications | Differential Calculus | Khan Academy

Intuition behind the Mean Value Theorem Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/introduction-to-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/mean_value_theorem/v/maximizing-function-at-value?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in […]

## Local linearization | Derivative applications | Differential Calculus | Khan Academy

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/e/local-linearization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/v/local-linearization-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their […]

## Derivative of natural logarithm | Taking derivatives | Differential Calculus | Khan Academy

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/calculus-derivative-of-x-x-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their […]

## Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/e/concavity-and-the-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/calculus-graphing-with-derivatives-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/inflection-points?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their […]

## Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy

Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line) Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-equation-of-tangent-line-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, […]