Consider the functions f(x, y) = In(x + y) with x(s, t) = ts y(s, t) = f²s + 252. %3D and Compute the partial derivatives fs and f, by using the chain rule. Select one: О а. s+2t fi = 36+1)+2 1 fs = %3D s(s+t)+2 s(s+f)+2 O b. 2s+t fs fi = T(sti)+2 %3D s(s+t)+2 C. fs = 2s+t fi = %3D s(s+t)+1 s(s+t)+2 O d. s+2t fs fi = %3D s(s+1)+2 t(s+t)+2 1 21+1 fi = 2.s+12+t 2s+12+t
Consider the functions f(x, y) = In(x + y) with x(s, t) = ts y(s, t) = f²s + 252. %3D and Compute the partial derivatives fs and f, by using the chain rule. Select one: О а. s+2t fi = 36+1)+2 1 fs = %3D s(s+t)+2 s(s+f)+2 O b. 2s+t fs fi = T(sti)+2 %3D s(s+t)+2 C. fs = 2s+t fi = %3D s(s+t)+1 s(s+t)+2 O d. s+2t fs fi = %3D s(s+1)+2 t(s+t)+2 1 21+1 fi = 2.s+12+t 2s+12+t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Transcribed Image Text:A_2021-22
Term 2 | Quiz 1 of term 2
Consider the functions
f(x, y) = In(x + y)
with x(s, t) = ts
%3D
and
y(s, t) = t²s + 2s².
Compute the partial derivatives f, and f, by using the chain rule.
Select one:
O a.
fs=
s+2t
fi =
s(s+1)+2
s(s+f)+2
Ob.
2s+t
fs%3D
S
s(s+t)+2
t(s+t)+2
OC.
2s+t
fs 3=
f%3=
s(s+t)+1
s(s+t)+2
Od.
s+2t
fs =
f%3=
%3D
s(s+t)+2
1(s+1)+2 +
21+1
O e. fs =
fi 3=
2s+12+t
2s+t2+t
1/5
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