Find the first and second order partial derivatives for the multivariate function f (x,y) = xy 1) Find f (x,y) X - a) 1+ y a) xy-+e-logy X x² X + e*logy (In2) y O 2) Find f (x,y) Ⓒ a) 2-y+e'logy b) -2 +²logy y -3) Find f (x,y) xy b) x b) xy-- 1 y² yln2 + logy c) y++e*logy c) 2xy + 2-² (12) X y c) y +/- e'logy

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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QUESTION 13
Find the first and second order partial derivatives for the multivariate function
y
f (x,y) = xy -- + e*logy
X
1) Find f(x,y)
a) xy-
y²
-+e²*logy
2) Find f (x,y)
XX
x 3
a) 2-y+e logy
y
-3) Find f (x,y)
xy
1
a) 1+- +
x² (In2) y
b) x
Ⓒ
-
y
yln2
b) -2- + e'logy
C
c) y++e²logy
c) 2xy +
y
X
y ln2
y
b) xy-
xy-logy C) y +/- e'logy
+
c)
Transcribed Image Text:QUESTION 13 Find the first and second order partial derivatives for the multivariate function y f (x,y) = xy -- + e*logy X 1) Find f(x,y) a) xy- y² -+e²*logy 2) Find f (x,y) XX x 3 a) 2-y+e logy y -3) Find f (x,y) xy 1 a) 1+- + x² (In2) y b) x Ⓒ - y yln2 b) -2- + e'logy C c) y++e²logy c) 2xy + y X y ln2 y b) xy- xy-logy C) y +/- e'logy + c)
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