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The derivative of a function gives us the slope of the line tangent to the function at any point on the graph. This can be used to find the equation of that tangent line. 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-linearity/v/local-linearization-intro?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-differentiability/v/differentiability-at-a-point-algebraic-not-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus…

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This video explains how to find the distance between to cities given the time of a round trip when the average rate to and from the city are different. Complete Video Library: http://www.mathispower4u.com Search Videos: http://www.mathispower4u.wordpress.com

A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.