# Analysis/Total differentials

Evaluate f(1,2) and f(1.05, 2.1) for the function

Ã†'(x,y)=x/y.

a) calculate Δz

b) use the total differential dz to approximate Δz

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#### Solution Preview

Solution. Let z=f(x,y)=x/y, then x0=1,y0=2,deta(x)=0.05,deta(y)=0.1

a) ...

#### Solution Summary

This calculates Δz of a given function and then uses the total differential dz to approximate Δz.

$2.19