15. 2 = x? + y? 16. z = x*y 17. z =x*y + xy-2 18. V = xr'h 19. z== 20. z = х — у 21. z = /9 - x2 – y2 22. z= x²+ y² 23. 2= (sin x)(cos y) 24. z = tan(uv) 1-x 25. z= cos 26. 0 = tan-(xy?) 27. w = In(x? – y²) 28. P= sin(2s – 31) 29. W = e+s 30. Q = re 31. z = e 32. R=e-?/k 33. z =e--y? 34. P= evy?+z 35. U = 36. г— у* 37. z = sinh(x?y) 38. z = cosh(t – cos x) 39. w = xy?z? 40. w y +z -Li/M м 41. Q = 42. w = (x² + y? + z?)3/2

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Exercises 15-42, compute the first-order partial derivatives.

15. 2 = x? + y?
16. z = x*y
17. z =x*y + xy-2
18. V = xr'h
19. z==
20. z =
х — у
21. z = /9 - x2 – y2
22. z=
x²+ y²
23. 2= (sin x)(cos y)
24. z = tan(uv)
1-x
25. z= cos
26. 0 = tan-(xy?)
27. w = In(x? – y²)
28. P= sin(2s – 31)
Transcribed Image Text:15. 2 = x? + y? 16. z = x*y 17. z =x*y + xy-2 18. V = xr'h 19. z== 20. z = х — у 21. z = /9 - x2 – y2 22. z= x²+ y² 23. 2= (sin x)(cos y) 24. z = tan(uv) 1-x 25. z= cos 26. 0 = tan-(xy?) 27. w = In(x? – y²) 28. P= sin(2s – 31)
29. W = e+s
30. Q = re
31. z = e
32. R=e-?/k
33. z =e--y?
34. P= evy?+z
35. U =
36. г— у*
37. z = sinh(x?y)
38. z = cosh(t – cos x)
39. w = xy?z?
40. w
y +z
-Li/M
м
41. Q =
42. w =
(x² + y? + z?)3/2
Transcribed Image Text:29. W = e+s 30. Q = re 31. z = e 32. R=e-?/k 33. z =e--y? 34. P= evy?+z 35. U = 36. г— у* 37. z = sinh(x?y) 38. z = cosh(t – cos x) 39. w = xy?z? 40. w y +z -Li/M м 41. Q = 42. w = (x² + y? + z?)3/2
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