Curve Sketching With Derivatives: First and Second Derivative Tests
Sketch any curve with derivatives: increasing and decreasing intervals, local extrema, concavity, inflection points and a full cubic worked example.
· 7 min read
Applications of Derivatives
Optimization, related rates, curve sketching and linear approximation, with worked examples.
Linear Approximation: Tangent Line Estimates and Differentials
Learn linear approximation step by step: the tangent line formula, estimating square roots like sqrt(4.1), differentials, error and over or underestimates.
· 7 min read
Mean Value Theorem: Statement, Rolle's Theorem and Finding c
Understand the mean value theorem with graphs: what it says, Rolle's theorem, how to find the value of c step by step, and when the theorem does not apply.
· 7 min read
Optimization Problems in Calculus: A 5-Step Method With Examples
Solve calculus optimization problems with a reliable 5-step method: box, fence and can examples worked in full, plus how to check endpoints.
· 7 min read
Related Rates: Step-by-Step Method With Ladder and Cone Examples
Solve related rates problems with a clear method: sliding ladder, inflating balloon and filling cone examples worked in full, plus the mistakes to avoid.
· 6 min read
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