Calculating First-Order Partial Derivatives In Exercises 1-22, find af /åx and ðf/öy. 19. fx, у) — хУ 20. f(x, y) = log, x 2. f(x, y) = x² – xy + y? 21. f(x, у) 3D g(t) dt (g continuous for all t) 1. f(x, у) 3D 2x? - Зу - 4 3. f(x, y) = (x² – 1)(y + 2) 4. f(x, y) = 5xy – 7x? – y? + 3x – 6y + 2 22. fx, y) %3D L(хуу" (\ху| < 1) n=0 5. f(x, y) = (xy – 1)? 7. f(x, y) = Vx² + y² 9. f(x, y) = 1/(r + y) 11. f(x, y) = (x + y)/(xy – 1) 12. f(x, y) = tan- (v/x) 6. f(x, y) 3 (2х — Зу)3 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²) 13. f(x, y) = elt+y+1) 14. f(x, y) = e* sin (x + y) 16. f(x, у) 3D еy In y 18. f(x, y) = cos² (3x – y²) 15. f(x, y) = In (x + y) 17. f(x, y) = sin² (x – 3y)

Calculating First-Order Partial Derivatives In Exercises 1-22, find af /åx and ðf/öy. 19. fx, у) — хУ 20. f(x, y) = log, x 2. f(x, y) = x² – xy + y? 21. f(x, у) 3D g(t) dt (g continuous for all t) 1. f(x, у) 3D 2x? - Зу - 4 3. f(x, y) = (x² – 1)(y + 2) 4. f(x, y) = 5xy – 7x? – y? + 3x – 6y + 2 22. fx, y) %3D L(хуу" (\ху| < 1) n=0 5. f(x, y) = (xy – 1)? 7. f(x, y) = Vx² + y² 9. f(x, y) = 1/(r + y) 11. f(x, y) = (x + y)/(xy – 1) 12. f(x, y) = tan- (v/x) 6. f(x, y) 3 (2х — Зу)3 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²) 13. f(x, y) = elt+y+1) 14. f(x, y) = e* sin (x + y) 16. f(x, у) 3D еy In y 18. f(x, y) = cos² (3x – y²) 15. f(x, y) = In (x + y) 17. f(x, y) = sin² (x – 3y)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 20E

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