Mathematical Economics Doubt

[Homer Simpson]

Obtain a linear approximation to the production function x = 3K^(2/3)L^(1/3) near K=1000 and L=125. Using this approximation, estimate the output if K = 998 and L=126

what does this linear approximation mean exactly? partial derivatives??

[Granpa Simpson]

Expand the function using Taylor's approximation...!!!!

[Homer Simpson]

thank you..am not sure how to do it though cuz its two-variable case (have only done 1 variable version of taylor series) and they have mentioned near both K = 998 and L=126.

[Granpa Simpson]

[Homer Simpson]

:) thank you

[Anjali]

1500+ 0.5 (K-1000) + 4 (L-125)
Is that so ?

[Anjali]

N output 1503 ?