Can someone show me how to obtain the quadratic approximation of
f(x1,x2) = x1^(3/4) * x2^(1/4)
when (x1,x2) is close to (1,1)?© BrainMass Inc. brainmass.com March 4, 2021, 8:06 pm ad1c9bdddf
Please see the attached file.
For a function that depends on two variables, x and y, the Taylor series to second order about the point (a, b) is:
Here, f(x, y) = x3/4y1/4, ...
This provides an example of how to obtain a quadratic approximation. Quadratic Taylor approximation is examined.