If $\displaystyle {f{{\left({x}\right)}}}={3}{x}^{{2}}-{3}{x}+{2}$, find $\displaystyle {f}'{\left({2}\right)}$. Preview Question 6 Part 1 of 4  

Use this to find the linear approximation to $\displaystyle {f{{\left({x}\right)}}}$ at $\displaystyle {x}={2}$.

The equation of this linear approximation is

$\displaystyle {L}{\left({x}\right)}=$ Preview Question 6 Part 2 of 4  

Use $\displaystyle {L}{\left({x}\right)}$ to approximate $\displaystyle {f{{\left({2.3}\right)}}}$. (Compute the actual value of $\displaystyle {L}{\left({2.3}\right)}$.)


$\displaystyle {f{{\left({2.3}\right)}}}\approx$

Compare this with the actual value of $\displaystyle {f{{\left({2.3}\right)}}}=$