Linear Approximation and Differentials | AP Calculus AB

Worked examples, fresh practice, captions, and corrected transcript: https://calculus.mrwittman.com/10-7-2... Use tangent lines to estimate nearby function values, choose convenient base points, compare estimates with calculator values, and connect linearization to the differentials dx and dy. Chapters 0:00 Start with the tangent-line equations 2:33 Find a polynomial tangent line at zero 5:49 Zoom in on the curve and its tangent 8:17 Estimate a nearby polynomial value 11:25 Write the general linearization formula 12:52 Move the base point to one 17:01 Linearize sine at zero 19:44 Linearize the natural logarithm at one 23:58 Estimate a square root near nine 28:14 Understand differentials on a tangent line 31:55 Find the differential of sine Course: AP Calculus AB Recorded October 7, 2026