• Shuffle
Toggle On
Toggle Off
• Alphabetize
Toggle On
Toggle Off
• Front First
Toggle On
Toggle Off
• Both Sides
Toggle On
Toggle Off
• Read
Toggle On
Toggle Off
Reading...
Front

## Card Range To Study

through

Play button

Play button

Progress

1/7

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

### 7 Cards in this Set

• Front
• Back
 Linearization L(x,y) = f(a,b) + fx(a,b) (x - a) + fy(a,b) (y - b) Equation of Tangent Plane z - z0 = fx(x0,y0) (x - x0) + fy(x0,y0) (y - y0) Gradient Vector < fx, fy, fz > Directional Derivative Du f(x,y,z) = ▽f (x,y,z) * u where u = vector v / magnitude of v Second Derivative Test D = fxx(a,b) * fyy(a,b) - [ fxy(a,b) ]^2 Give the conditions for max and min. If D > 0, and fxx(a,b) > 0 , then it is a minimum. If D > 0, and fxx(a,b) < 0, then it is a maximum. If D < 0, it is a saddle point. How do you find extrema? 1. Find fx and fy. 2. Set equal to 0 to find critical points. 3. Find equations of lines for the boundaries. 4, Check the endpoints. If slope is negative then highest number is minimum and lowest number is maximum. 5. These are all candidates for absolute maximum and absolute minimum. 6. Compare to find which one it is.