The Mean Value Theorem II (10-1-2012) Graphical Considerations The Mean Value Theorem I (9-28-2012) Proof Units (1-26-2018) The units of derivatives and integralsįermat’s Penultimate Theorem (9-24-2012) Extreme values occur where the derivative is 0 or undefined (critical points) Implicit Differentiation of Parametric Equations (5-17-2014) BC topic.Ī Vector’s Derivatives (1-14-2015) What they mean and how to find them. Inverses Graphically and Numerically (11-14-2012) Derivatives of inverses – the hard way and the easy way. Implicit Differentiation (9-28-2017) Where to start this topic. The Calculus of Inverses (11-12-2012) Derivatives of the Inverse Trigonometry functions Power Rule Implies the Chain Rule (9-20-2014)ĭerivative Practice – Numbers (10-202012) Derivative from tables of numbersĭerivative Practice – Graphs (10-3-2012) Derivative from graphs The Derivative Rules 3 (9-19-2012) The Quotient ruleĮxperimenting with CAS – Chain Rule (7-3-2013) Discovering the Chain Rule The Derivative Rules 2 (9-17-2012) The Product rule The Derivative Rules 1 (9-14-2012) Constants, sums and differences, powers. Why Radians? (12-12-2012) Don’t do calculus without them The Derivative 2 (9-7-2012) Calculators and difference quotients The Derivative 1 (9-5-2012) Definition of the derivative A calculator exploration.ĭiscovering the Derivative (8-18-2015) A graphing calculator exploration Local Linearity 2 (8-31-2012) Using local linearity to approximate the tangent line. Local Linearity 1 (8-29-2012) The graphical manifestation of differentiability with pathological examples. Scroll down or use these links to take you directly to the various sections:ĪPPLICATIONS: THE MEAN VALUE THEOREM (MVT)ĪPPLICATIONS: GRAPHING AND EXTREME VALUES Below are the post on differential calculus, derivatives, and their applications.
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