Download - Chapter 2 Differentiation. Copyright © Houghton Mifflin Company. All rights reserved.2 | 2 Tangent…

Chapter 2

Differentiation

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 2

Tangent Line to a Graph


Tangent Line to a Circle


Tangent Lineto a Graph at a Point


The SecantLine Through the Two Points


Secant lineapproaches the tangent line

TheTangentLineProblem.cdf


Definition of the Slope of a Graph


Definition of the Derivative


Functions ThatAre Not Differentiable at x = 0


The Constant Rule


The (Simple)Power Rule


The Constant Multiple Rule


The Sum and Difference Rules


Definition ofAverage Rate of Change


Definition ofInstantaneous Rate of Change

TheDefinitionOfTheDerivative.cdf


The Product Rule


The Quotient Rule


http://youtu.be/nx-XRC_1n-Q

http://www.youtube.com/watch?v=nx-XRC_1n-Q


The Chain Rule


The General Power Rule


Summary of Differentiation Rule


Marginal Profit/Marginal Revenue/Marginal Cost


Notation forHigher-Order Derivatives


Position Function/Velocity Function/Acceleration Function


Implicit Differentiation


Table: Verbal Statement/Mathematical Model


Guidelines for Solvinga Related-Rate Problem


RelationOfRadiusSurfaceAreaAndVolumeOfASphere.cdf


Find the slope of the graph at the given point.

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