Using derivatives to analyze functions | AP Calculus AB | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-8/v/calculus-graphing-with-derivatives-example 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/calc_optimization/v/minimizing-sum-of-squares?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/calculus-graphing-using-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit in

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-4/v/analyzing-mistakes-when-finding-extrema-1 Sal finds the relative maximum point of g(x)=x_-x_ by analyzing the intervals where its derivative, g', is negative or positive. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/analyzing-mistakes-when-finding-extrema-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/testing-critical-points-for-local-extrema?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP les

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-4/v/analyzing-mistakes-when-finding-extrema-1 Sal finds the relative maximum point of g(x)=x_-x_ by analyzing the intervals where its derivative, g', is negative or positive. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/analyzing-mistakes-when-finding-extrema-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/testing-critical-points-for-local-extrema?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP les

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-6a/v/recognizing-concavity-exercise Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/e/recognizing_concavity?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/inflection-points?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/concavity-concave-upwards-and-concave-downwards-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit in