Differentials and Derivatives - Local Linearization

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This calculus video tutorial provides a basic introduction into differentials and derivatives as it relates to local linearization and tangent line approximations.

Introduction to Related Rates:

Local Maximum & Minimum:

Mean Value Theorem:

Concavity & Inflection Points:

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L'Hopital's Rule:

Curve Sketching With Derivatives:

Newton's Method:

Optimization Problems:

Marginal Cost & Total Average Cost:

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Marginal Revenue and Profit:

Tangent Line Approximations:

Differentials & Local Linearization:

Estimating Function Values:

Antiderivatives:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:
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When a 10 minute video beats your whole week of class

superbutter
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yousifss
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This is the hardest part of calculus fck differential. I'm amazed to those people that can understand this.

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ian-hmcx
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Its crazy how all of this relates to primarily understanding the SLOPE which we all learn in algebra 1. Slope is change in y/change in x. dy just means change in y, dx is change in x. Derivative (dy/dx) then means we are finding the slope of the equation.

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