# Quadratic approximation

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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)?

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#### Solution Preview

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, ...

#### Solution Summary

This provides an example of how to obtain a quadratic approximation. Quadratic Taylor approximation is examined.

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