Çözüldü Linear Approximation in Two-Variable Functions - Partial Differentiation (Not in YKS)

Test adaptation of a three-cent solved problem from the University of Illinois—Urbana Champaign for the level of an imaginary Turkish science high school:


https://i.ibb.co/8NCNV4r/Linear-Approximation.png
(fx and fy are partial derivatives regarding the x and y variables, respectively, at the best point for the required approximation, and ∂ is the partial derivative operator.)

A) 0.05
B) 0.10
C) 0.15
D) 0.20
E) 0.25


https://i.ibb.co/DgzWs42/Linear-Approximation-sol.png
https://nmd.web.illinois.edu/classes/2012/241/practice_exams/m1-sols-2024.pdf
(Page 6, Question 7)

Note: Δx = x - a, Δy = y - b
Source: https://sites.ualberta.ca/~rjia/Math214/Part4/Lec6.pdf