Loading in 5 sec....

Directional Derivatives in the PlanePowerPoint Presentation

Directional Derivatives in the Plane

- 128 Views
- Uploaded on
- Presentation posted in: General

Directional Derivatives in the Plane

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- The next map shows the contours on the area in New York. The tributary streams flow perpendicular to the contour.
- The streams are following paths of steepest descent so the water reach the river as quickly as possible.
- The instantaneous rate of change in a stream’s altitude above sea level has a particular direction.
- In this section why this “downhill” direction is perpendicular to the contours.

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

- Any other way to find the equation of the tangent line?

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Example

Chapter 14

14.5 Directional Derivatives and Gradient Vectors

- Exercise 14.5, No. 15.
- Exercise 14.5, No. 22.
- Exercise 14.5, No. 31.
- Homeworks must not be submitted, but there will be a 15-minute short quiz in every lecture, asking 1-2 of the homework problems.
- Next short quiz: Next week, at 17.15.