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3. For the function W = = g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, a. Find the three first order partial derivatives. b. The partial derivatives gx, and gzx. Are these the same? 3 continued. For the function w= g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, 2/ c. The partial derivatives gxyz and gzxy. How do these two results compare?

3. For the function W = = g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, a. Find the three first order partial derivatives. b. The partial derivatives gx, and gzx. Are these the same? 3 continued. For the function w= g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, 2/ c. The partial derivatives gxyz and gzxy. How do these two results compare?

Calculus For The Life Sciences
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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3. For the function W = = g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, a. Find the three first order partial derivatives. b. The partial derivatives gx, and gzx. Are these the same? 3 continued. For the function w= g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, 2/ c. The partial derivatives gxyz and gzxy. How do these two results compare?
Transcribed Image Text:3. For the function W = = g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, a. Find the three first order partial derivatives. b. The partial derivatives gx, and gzx. Are these the same? 3 continued. For the function w= g(x, y, z) = 27 x²/3 y3 z² - xy-¹z, 2/ c. The partial derivatives gxyz and gzxy. How do these two results compare?
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