1 / 8

Warm-ups

Warm-ups. 1) Find the equations of all lines tangent to y = 9 – x 2 that passes through the point (1, 12) . Warm-ups. 2) TRUE OR FALSE: If the graph of a function has a tangent line at x = a, then the graph also has a normal line at x = a. Justify your answer. Warm-ups.

carys
Download Presentation

Warm-ups

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. Warm-ups 1) Find the equations of all lines tangent to y = 9 – x2that passes through the point (1, 12).

  2. Warm-ups 2) TRUE OR FALSE: If the graph of a function has a tangent line at x = a, then the graph also has a normal line at x = a. Justify your answer.

  3. Warm-ups MULTIPLE CHOICE: Find the average rate of change of f(x) = x2 + x over the interval [1, 3] A) -5 B) 1/5 C) ¼ D) 4 E) 5

  4. Warm-ups 4) MULTIPLE CHOICE: Which of the following is an equation of the normal to the graph of f(x) = 2/x at x = 1. A) y = ½x + 3/2 B) y = - ½x C) y = ½x + 2 D) y = -½ x + 2 E) y = 2x + 5

  5. Rates of change and Tangent lines: Applications

  6. Example: Using the function f(t) = 2t2- 1, find the following … a) The instantaneous rate of change at t = 2.

  7. Example: Using the function f(t) = 2t2- 1, find the following …

  8. Example: Find the speed of the rock that freefalls from a cliff at t = 1 sec.

More Related