Unit_II_The_Derivative_outline

# Unit_II_The_Derivative_outline - Unit II The Derivative(22...

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Unit II The Derivative (22 days 1 test) 1. The Derivative of a Function Definition of the Derivative as a limit of the difference quotient Alternate Definition of the Derivative at a Point Recognizing a given limit as a derivative Expressing the derivative as a limit One-Sided Derivatives Can Differ at a Point 2. Differentiability (APPENDIX A) The Difference Quotient and the Symmetric Difference Quotient Computing a Numerical Derivative (algebraically and numerically) Using the Symmetric Difference Quotient to estimate the derivative at a point Sketching a Graph of f from the Derivative Differentiability Implies Continuity (yet continuity does not imply differentiability) 3. Rules for Differentiation Basic Rules (Derivative of a Constant, Power Rule, Constant Multiple Rule, Sum and Difference Rule) Finding Horizontal Tangents Working With Numerical Values Second and Higher Order Derivatives 4. Velocity and Other Rates of Change Slope of a secant line / Slope of a tangent line Average velocity / Instantaneous velocity

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Unit_II_The_Derivative_outline - Unit II The Derivative(22...

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