Let $f(x)$ be defined such that $f(2)=3$ and $f^{\text{'}}(x)=cos(\frac{1}{x^2}+x),$ where $f(2\mathrm{.}1)f(2\mathrm{.}1)I_{{?}_{?}}(x)I{U}_{?}{x}_{2}QvvAIvv{A}^{-}=vv{A}_{v}vA1.$

Part $A$: Find the tangent line approximation for $f(2\mathrm{.}1).(25$ points$)$

Part $B$: $Iff(2\mathrm{.}1)$ has $an$ actual value $of2\mathrm{.}12,$ use the shape $of$ the graph $to$ determine $if$ this $isan$ overestimate $or$ underestimate. Justify your answer. $(15$ points$)$

$I_{{?}_{?}}(x)$

$B$

$I$

$f{U}_{?}$

$x_2$

$$

$QvvAIvv{A}^{-}=vv{A}_{v}vA$

$0$

$$

:$=$

Numbered List

FOR $AP$ CALC $SO$ INCLUDE EVERYTHING $TO$ GET FULL POINTS!