{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

multivariable_00_intro_2up

# multivariable_00_intro_2up - Calculus Early Transcendentals...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
For Kathleen, without whose encouragement this book would not have been written.
Contents 1 Analytic Geometry 1 1.1 Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Distance Between Two Points; Circles . . . . . . . . . . . . . . . . 7 1.3 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Shifts and Dilations . . . . . . . . . . . . . . . . . . . . . . . . 13 2 Instantaneous Rate of Change: The Derivative 17 2.1 The slope of a function . . . . . . . . . . . . . . . . . . . . . . 17 2.2 An example . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.3 Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.4 The Derivative Function . . . . . . . . . . . . . . . . . . . . . 34 2.5 Adjectives For Functions . . . . . . . . . . . . . . . . . . . . . 39 v vi Contents 3 Rules for Finding Derivatives 43 3.1 The Power Rule . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.2 Linearity of the Derivative . . . . . . . . . . . . . . . . . . . . 46 3.3 The Product Rule . . . . . . . . . . . . . . . . . . . . . . . . 48 3.4 The Quotient Rule . . . . . . . . . . . . . . . . . . . . . . . . 50 3.5 The Chain Rule . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4 Transcendental Functions 59 4.1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

multivariable_00_intro_2up - Calculus Early Transcendentals...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online