#$22024$ Ch $3\mathrm{.}11,$

Question $12,3\mathrm{.}11\mathrm{.}39$

Part $1$ of $3$

The function $f(x)$ changes value when $x$ changes from $x_0$ to $x_0+dx.$ Find the change $f=f(x_0+dx)-f(x_0),$ the value of the estimate $df=f^{\text{'}}(x_0)dx,$ and the approximation error $|f-df|.$

$f(x)=6x^2+5x,x_0=2,dx=0\mathrm{.}1$