Intuition for how local linearity relates to differentiability using the Desmos graphing calculator.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/e/derivative-at-a-point-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intro-opt-vids/v/differentiability-implies-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/local-linearization-intro?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 lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
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https://www.youtube.com/watch?v=h2lARdo7Xko
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Applying Radical Equations 2
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=YghRP8S2K-4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/e/optimization?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-combined-area?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-the-cost-of-a-storage-container?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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https://www.youtube.com/watch?v=IFU7Go6Qg6E
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Strong acids (such as HCl, HBr, HI, HNO₃, HClO₄, and H₂SO₄) ionize completely in water to produce hydronium ions. The concentration of H₃O⁺ in a strong acid solution is therefore equal to the initial concentration of the acid. For example, a solution of 0.1 M HNO₃ contains 0.1 M H₃O⁺ and has a pH of 1.0. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:acids-and-bases/x2eef969c74e0d802:ph-and-poh-of-strong-acids-and-bases/v/strong-acid-solutions
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https://www.youtube.com/watch?v=pZ43GbTechI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Definite integral of shifted function
More free lessons at: http://www.khanacademy.org/video?v=09VLUSkaZU8
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https://www.youtube.com/watch?v=09VLUSkaZU8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
We'll use algebra to solve this percent problem.
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/growing-by-a-percentage?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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 and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=TvSKeTFsaj4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
It is the not-too-distant dystopian future. You live in the cyberpunk underbelly of Metropoluxe with your canine companion-bot GoodBoy3000.
Focus virtue: GRIT in the face of repeated failure
Written by Diana Rosile and Alyssa Foote
Performed by Ken Jones
Sound designed by David Rheinstrom
Illustrated by Alyssa Foote
Khaffeine is a Social and Emotional Learning-focused audio journey that revitalizes and excites learners who are looking for a sense of inspiration despite their daily challenges.
Khaffeine perks you up and gets you going! It encourages the listener to believe in themselves, even—especially!—when circumstances are hardest.
Sfx Attributions:
“Neighborhood compost and moving trucks ambience” by Ev-Dawg, licensed under an Attribution License
https://freesound.org/people/Ev-Dawg/sounds/350695/
“Slowblip” by CosmicD, licensed under an Attribution License
https://freesound.org/people/CosmicD/sounds/37574/
“Machinery_hum” by Primeval_Polypod, licensed under an Attribution License
https://freesound.org/people/primeval_polypod/sounds/156505/
Music:
“This Bright Day” by Ketsa, licensed under an Attribution-NonCommercial-NoDerivatives 4.0 International License
https://freemusicarchive.org/music/Ketsa/End_is_Beginning/This_Bright_Day
“Epic cinematic” by Scott Holmes, licensed under an Attribution-NonCommercial license
https://freemusicarchive.org/music/Scott_Holmes/Cinematic_Background_Music
“Street Dancing” by Timecrawler 82, licensed under an Attribution License
https://freemusicarchive.org/music/Timecrawler_82/Osaka_Lights/Street_Dancing
“Epic Heroic Orchestral Dramatic” by SoundFlakes, licensed under an Attribution license
https://freesound.org/people/SoundFlakes/sounds/423499/
“A Scent of Mysteries” by X3nus, licensed under an Attribution license
https://freesound.org/people/X3nus/sounds/509680/
Other sound effects and music licensed under a Creative Commons 0 license, or original to KA staff (e.g., the GoodBoy sounds are all ours!)
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https://www.youtube.com/watch?v=tD1e_BaOA4U
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Integration by substitution (or the reverse-chain-rule)
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https://www.youtube.com/watch?v=VJ9VRUDQyK8
Note: All Khan Academy content is available for free at (www.khanacademy.org)