f(x,y,z)= xy²z +x² yz? – sin xy + cos yz Which of the following is the first-order derivative of the function with respect to z? O A) 2xy² + 2x²yz – yx sin yz – x cos yz B) xy + 4x yz? - y sin yz + sin xy O C) xy'z + 6x² yz' – ysin yz – cos yz O D) xy? + 2x² yz – y sin yz OE) xy'z +x²yz – y sin yz + sin xy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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19
f(x, y,z)= xy²z
+x* yz' – sin xy + cos yz
Which of the following is the first-order derivative of the function with respect to z?
A) 2xy + 2xʻyz – yx sin yz –- x cos yz
O B) xy + 4x²yz² – y sin yz + sin xy
C) xy'z+ 6x° yz' – ysin yz – cos yz
O D) xy? + 2x² yz – y sin yz
O E) xy'z +x²yz – y sin yz + sin xy
Transcribed Image Text:19 f(x, y,z)= xy²z +x* yz' – sin xy + cos yz Which of the following is the first-order derivative of the function with respect to z? A) 2xy + 2xʻyz – yx sin yz –- x cos yz O B) xy + 4x²yz² – y sin yz + sin xy C) xy'z+ 6x° yz' – ysin yz – cos yz O D) xy? + 2x² yz – y sin yz O E) xy'z +x²yz – y sin yz + sin xy
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