(c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii) 2/3a+y? (iii) 3/3x+y? for fy(x, y), also let f[g(x)] = (3x + y²)2 with "inner" function g(x, y) = (i) 3a + y? (ii) 3x (iii) 3x + ? 1 (2y)3=D 2/3x + y? fy
(c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii) 2/3a+y? (iii) 3/3x+y? for fy(x, y), also let f[g(x)] = (3x + y²)2 with "inner" function g(x, y) = (i) 3a + y? (ii) 3x (iii) 3x + ? 1 (2y)3=D 2/3x + y? fy
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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 27E: Find derivatives of the functions defined as follows. y=34x2+2
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![(c) f(x, y)
= V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01.
1
AT) =
2/3x + y?
3x
(i)
3x+y?
(ii)
2/3x+y?
(ii)
3/3x+y?
for f,(r, y), also let f[g(x)] = (3x + y?)2
with "inner" function g(x, y) = (i) 3x + y² (ii) 3x (iii) 3x + x?
1
fy
(2y)
2/3x + y²
3.
3x
(i)
3x+y²
(ii)
2/32+y?
(ii)
33x+y2
SO
dz
fr(x, y) · dx + fy(r, y) dy
3
dx +
2/3r + y?
dy
V3x + y?
3
(0.01) +
(0.01) =
2/3(2) + (0)2,
3(2)-
+ (0)2
(i) 0.005 (ii) 0.006 (iii) 0.007](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F565a9e57-a6b5-46f9-8dbe-e34f26ebcadd%2Fbf9b0c68-99bd-43fd-b7ef-c81dd16e865d%2Ffbs92y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) f(x, y)
= V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01.
1
AT) =
2/3x + y?
3x
(i)
3x+y?
(ii)
2/3x+y?
(ii)
3/3x+y?
for f,(r, y), also let f[g(x)] = (3x + y?)2
with "inner" function g(x, y) = (i) 3x + y² (ii) 3x (iii) 3x + x?
1
fy
(2y)
2/3x + y²
3.
3x
(i)
3x+y²
(ii)
2/32+y?
(ii)
33x+y2
SO
dz
fr(x, y) · dx + fy(r, y) dy
3
dx +
2/3r + y?
dy
V3x + y?
3
(0.01) +
(0.01) =
2/3(2) + (0)2,
3(2)-
+ (0)2
(i) 0.005 (ii) 0.006 (iii) 0.007
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