Determine all the partial derivatives of f(x,y, z) = y² In(x + 2y) – In(3z) (x³ + y? – 4z) Determine dz/dx and dz/dy for z* – y? + x? = 6x?y³z?

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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Determine all the partial derivatives of
f(x,y,z) =
y2 In(x + 2y) – In(3z) (x³ + y² – 4z)
Determine dz/dx and dz/dy for
z* – y? + x? = 6x²y³z?
Transcribed Image Text:Determine all the partial derivatives of f(x,y,z) = y2 In(x + 2y) – In(3z) (x³ + y² – 4z) Determine dz/dx and dz/dy for z* – y? + x? = 6x²y³z?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,