Calculate the first-order partial differentials of the following functions: (i)
f(x_(1),x_(2))=x_(1)^(3)+x_(2)^(2)+1
(ii)
f(x_(1),x_(2))=2ln(x_(1))+e^(x_(2)+1)+x_(1)x_(2)
(iii)
\pi (q_(1),q_(2))=q_(1)^(2)+50q_(2)^(2)-q_(1)q_(2)-120
(iv)
Q(K,L)=200K^(0.5)L^(0.5)

Question

Calculate the first-order partial differentials of the following functions: (i)

f(x_(1),x_(2))=x_(1)^(3)+x_(2)^(2)+1

(ii)

f(x_(1),x_(2))=2ln(x_(1))+e^(x_(2)+1)+x_(1)x_(2)

(iii)

\pi (q_(1),q_(2))=q_(1)^(2)+50q_(2)^(2)-q_(1)q_(2)-120

(iv)

Q(K,L)=200K^(0.5)L^(0.5)

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(Solved): Calculate the first-order partial differentials of the following functions: (i) f(x_(1),x_(2))=x_(1 ...