All Lessons

Date Title
Aug 19, 2025 Polynomial Graphing, Critical Points & Quotient Rule
Aug 21, 2025 Derivative Analysis & Quotient Rule
Aug 25, 2025 Product Rule, Chain Rule & Inverse Functions
Aug 28, 2025 Inverse Functions & Chain Rule
Sep 1, 2025 Optimization & Distance to Curves
Sep 5, 2025 Optimization on Ellipses & 3D Surfaces
Sep 11, 2025 The Number e & Binomial Expansion
Sep 15, 2025 Exponential Functions, Logarithms & Their Derivatives
Sep 18, 2025 Taylor/Maclaurin Series & Power Series of ln(1+x)
Sep 22, 2025 Derivatives of Trig Functions & sin(x)/x Limit
Sep 25, 2025 Derivatives of tan & sec — Graphical and Algebraic
Sep 29, 2025 Euler’s Formula & Functional Equations
Oct 2, 2025 Derivative Techniques Review: Chain Rule, Logarithmic Differentiation & Inverse Function Derivatives
Oct 6, 2025 Limits Involving the Definition of e, Power Expansions & Higher Derivatives of Inverse Functions
Oct 9, 2025 Power Series from Known Expansions, Geometric Series, and Partial Fractions
Oct 13, 2025 Related Rates: Connecting Changing Quantities with Derivatives
Oct 13, 2025 Related Rates: Distance, Shadows & Velocity Decomposition
Oct 16, 2025 Related Rates via the Physics (Vector Projection) Method
Oct 20, 2025 Related Rates — Spheres, Cones, and Propagated Error
Oct 23, 2025 Propagated Error & Combining Measurements
Oct 23, 2025 Propagated Error and Logarithmic Differentiation for Percent Error Analysis
Oct 27, 2025 Motion in 2D: Velocity, Speed, Trajectories & Acceleration
Oct 30, 2025 Parametric Motion, Speed vs. Velocity & Proving the Circumference
Nov 3, 2025 From Trajectories to Integrals — Antiderivatives and the Area of a Circle
Nov 6, 2025 Antiderivative of the Semicircle: Geometry Meets Calculus
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