Being fa function with continuous first derivatives, defined by: z = ryf (x² + y°, cos(ry)) If we take u = x? + y³ and w = cos(xy), then: dz A) = yf (u, w) + 2a²y fu + xy² sin(xy)fw az B) 2ryf. – y² sin(xy) fw az = yf (u, w) + 2x²yfu – xy sin(ry)fw C) dz D) yf (u, w) – ry sin(xy)fu + 2x°yfw

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Being fa function with continuous first derivatives, defined by:
z = ryf (x² + y°, cos(ry))
If we take u = x? + y³ and w = cos(xy), then:
dz
A)
= yf (u, w) + 2a²y fu + xy² sin(xy)fw
az
B)
2ryf. – y² sin(xy) fw
az
= yf (u, w) + 2x²yfu – xy sin(ry)fw
C)
dz
D)
yf (u, w) – ry sin(xy)fu + 2x°yfw
Transcribed Image Text:Being fa function with continuous first derivatives, defined by: z = ryf (x² + y°, cos(ry)) If we take u = x? + y³ and w = cos(xy), then: dz A) = yf (u, w) + 2a²y fu + xy² sin(xy)fw az B) 2ryf. – y² sin(xy) fw az = yf (u, w) + 2x²yfu – xy sin(ry)fw C) dz D) yf (u, w) – ry sin(xy)fu + 2x°yfw
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