1 / 8

CHAPTER 1: INTRODUCTION TO CALCULUS

CHAPTER 1: INTRODUCTION TO CALCULUS. 1.1: RATIONALIZING DENOMINATOR. A radical expression with a square root in the denominator can be simplified by multiplying the numerator and denominator by the radical only. Fdgdfgdfgdfgdfg Ffff s. 1.2: THE SLOPE OF A TANGENT.

iain
Download Presentation

CHAPTER 1: INTRODUCTION TO CALCULUS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CHAPTER 1: INTRODUCTION TO CALCULUS

  2. 1.1: RATIONALIZING DENOMINATOR • A radical expression with a square root in the denominator can be simplified by multiplying the numerator and denominator by the radical only. Fdgdfgdfgdfgdfg Ffff s

  3. 1.2: THE SLOPE OF A TANGENT • The slope of a tangent at a point (a, f(a)), can be found using the following formula: To find the slope: • Find the value of f(a) • Find the value of f(a + h) • Evaluate using the formula

  4. 1.3: THE RATE OF CHANGE • Used the AROC and IROC formula to solve rate of change problems. • Recall:

  5. 1.4: THE LIMITS OF A FUNCTION • The values of numbers around x can be used to find the limit. If the LHL (Left Hand Limit) = RHL (Right Hand limit), than L is the limit.

  6. 1.5: PROPERTIES OF LIMITS • Limits can be evaluated using some algebraically using the following properties of limits:

  7. 1.6: CONTINUITY • All polynomial functions are continuous for all real numbers. • A rational function h﴾x﴿ = f﴾x﴿ is continuous at x = a if g﴾a﴿ ≠ 0. • A rational function in simplified form has a discontinuity at the zeroes of the denominator. • When the one-sided limits are not equal to each other, then the limit at this point does not exist and the function is not continuous at this point.

More Related