Linear Approximation and Differentials (Patreon)

Linear Approximation, Differentials, Tangent Line, Linearization, f(x), dy, dx - Calculus

This calculus video shows you how to find the linear approximation L(x) of a function f(x) at some point a. The linearization of f(x) is the tangent line function at f(a). Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU 3-Step Continuity Test: https://www.youtube.com/watch?v=WT7oxiiFYt8 Continuity & Differentiability: https://www.youtube.com/watch?v=fml0-ELYLaE& Limit Definition of The Derivative: https://www.youtube.com/watch?v=-aTLjoDT1GQ Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w ___________________________________________________________________________________________ Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Derivative Notations: https://www.youtube.com/watch?v=7BK_mmYckmI The Cube: https://www.youtube.com/watch?v=r5PTN2TgGwc Inflated Balloon & Melting Snowball: https://www.youtube.com/watch?v=8dm0UtPyYj8 Gravel Dumped Into Conical Tank: https://www.youtube.com/watch?v=xvbrEfVLQ4k Area of a Triangle: https://www.youtube.com/watch?v=RGRhinA7YDI The Ladder Problem: https://www.youtube.com/watch?v=W3qoQIlfG0E Distance Problem: https://www.youtube.com/watch?v=_sbq6yZ9Kt8 Airplane Problems: https://www.youtube.com/watch?v=jUn8MpV80po The Shadow Problem: https://www.youtube.com/watch?v=-En2IABPR0I The Baseball Diamond Problem: https://www.youtube.com/watch?v=zytwFSyH0_0 The Angle of Elevation Problem: https://www.youtube.com/watch?v=dUBeikdfK10 More Practice Problems: https://www.youtube.com/watch?v=ps-r4nti5Go __________________________________________________________________________________________ Extreme Value Theorem: https://www.youtube.com/watch?v=Sx2lPZlnWfs Finding Critical Numbers: https://www.youtube.com/watch?v=Bp9EbV3COVA Local Maximum & Minimum: https://www.youtube.com/watch?v=WCq3sRzsJfs Absolute Extrema: https://www.youtube.com/watch?v=3wrXDw5ETh4 Rolle's Theorem: https://www.youtube.com/watch?v=LHym1ARc2cE Mean Value Theorem: https://www.youtube.com/watch?v=SL2RobwU_M4 Increasing and Decreasing Functions: https://www.youtube.com/watch?v=Dyl7jPlJXOM First Derivative Test: https://www.youtube.com/watch?v=G5wlKltW7pM Concavity & Inflection Points: https://www.youtube.com/watch?v=OhqNbQi9QPk Second Derivative Test: https://www.youtube.com/watch?v=G8GAsYkZlpE __________________________________________________________________________________________ L'Hopital's Rule: https://www.youtube.com/watch?v=Gh48aOvWcxw Curve Sketching With Derivatives: https://www.youtube.com/watch?v=JTVNUdL7sWs Newton's Method: https://www.youtube.com/watch?v=-5e2cULI3H8 Optimization Problems: https://www.youtube.com/watch?v=lx8RcYcYVuU Marginal Cost & Total Average Cost: https://www.youtube.com/watch?v=uPp1QZZKc8E Marginal Revenue and Profit: https://www.youtube.com/watch?v=VWShego7Ds8 Tangent Line Approximations: https://www.youtube.com/watch?v=XQaCbFMnDo0 Differentials & Local Linearization: https://www.youtube.com/watch?v=C5RI5eLzVfo Estimating Function Values: https://www.youtube.com/watch?v=NL0NFV-O8Vg Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig ____________________________________________________________________________________________ GPA Calculator: https://www.youtube.com/watch?v=qYHsThZWydY Save Money In College: https://www.youtube.com/watch?v=yNO02qfMSwI SAT Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Full-Length Exams and Worksheets: https://bit.ly/4990rzU