Given that a particle moves along the implicit curve x_y_=16 and given its rate of change with respect to x at some point, Sal finds the particle's rate of change with respect to y using implicit differentiation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/motion-along-a-curve-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/planar-motion-example-acceleration-vector?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. ... https://www.youtube.com/watch?v=Sv3Y0F0ASZ0 Note: All Khan Academy content is available for free at (www.khanacademy.org)

Lindsay finds a pattern from multiplying 1-digit numbers by 10, 100, and 1000. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-10s-100s-1000s/e/multiply-1-digit-number-by-10--100-1000 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/more-ways-to-think-about-multiplying Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) ... https://www.youtube.com/watch?v=SG4gX-VGzog Note: All Khan Academy content is available for free at (www.khanacademy.org)

An overview of Holocaust including to an overview of the events that led up to it. Includes overviews of the Nazi Party, Mein Kampf, Nuremberg Laws, etc. Discussion of the term "genocide". World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy ... https://www.youtube.com/watch?v=xjh0L2Km_cs Note: All Khan Academy content is available for free at (www.khanacademy.org)

Suppose we want to find the sum of a convergent series, and can't do it directly. We can take a partial sum, but how do we know how far we are from the actual sum? We can use improper integrals for that! Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/estimating-infinite-sum-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/worked-example-alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. ... https://www.youtube.com/watch?v=mUfp0KaXSj4 Note: All Khan Academy content is available for free at (www.khanacademy.org)