The Function $f ( x )$ Changes Value When $x$ Changes From $x _ { 0 }$

Multiple Choice

The function $f ( x )$ changes value when $x$ changes from $x _ { 0 }$ to $x _ { 0 } + d x$ . Find the approximation error $| \Delta f - d f |$ . Round your answer, if appropriate.
- $$f ( x ) = x + x ^ { 2 } , x _ { 0 } = 3 , d x = 0.04$$

A) 0.11264
B) 0.0016
C) 0.05632
D) 0.0032