Chapter Three Differentiation. Copyright © Houghton Mifflin Company. All rights reserved. 3 | 2 Secant Line.

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Presentation transcript:

Chapter Three Differentiation

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 2 Secant Line

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 3 Definition of Tangent Line with Slope M

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 4 Definition of Tangent Line with Slope M (cont’d)

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 5 Vertical Tangent Line

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 6 Definition of the Derivative of a Function

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 7 Differentiability and Continuity

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 8 Rates of Change

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 9 Higher Order Derivatives

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 10 Summary of Differentiation Rules

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 11 Guidelines for Implicit Differentiation

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 12 Derivatives of Inverse Functions

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 13 Basic Differentiation Rules for Elementary Functions

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 14 Volume

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 15 Guidelines for Solving Related-Rate Problems

Copyright © Houghton Mifflin Company. All rights reserved. 3 | 16 Newton's Method for Approximating the Zeros of a Function