Download presentation
Presentation is loading. Please wait.
Published byBrianne Fleming Modified over 9 years ago
1
Partial Derivatives
2
1. Find both first partial derivatives (Similar to p.914 #9-40)
3
2. Find both first partial derivatives (Similar to p.914 #9-40)
4
3. Find both first partial derivatives (Similar to p.914 #9-40)
5
4. Find both first partial derivatives (Similar to p.914 #9-40)
6
5. Find both first partial derivatives (Similar to p.914 #9-40)
7
6. Find both first partial derivatives (Similar to p.914 #9-40)
8
7. Use the limit definition of partial derivatives to find f x (x, y) and f y (x, y) (Similar to p.914 #41-44)
9
8. Evaluate f x and f y at the given point (Similar to p.914 #45-52)
10
9. Evaluate f x and f y at the given point (Similar to p.914 #45-52)
11
10. Find the slopes of the surface in the x- and y- directions at the given point (Similar to p.914 #53-54)
12
11. Find the first partial derivatives with respect to x, y, and z (Similar to p.914 #59-64)
13
12. Evaluate f x, f y, and f z at the given point (Similar to p.915 #65-70)
14
13. Evaluate f x, f y, and f z at the given point (Similar to p.915 #65-70)
15
14. Find the four second partial derivatives. Observe that the second mixed partials are equal (Similar to p.915 #71-79)
16
15. Find the four second partial derivatives. Observe that the second mixed partials are equal (Similar to p.915 #71-79)
17
16. For f(x, y), find all values of x and y such that f x (x, y) = 0 and f y (x, y) = 0 simultaneously (Similar to p.915 #81-88)
18
17. Show that the mixed partial derivatives f xyy, f yxy, and f yyx are equal (Similar to p.915 #93-96)
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.