Each 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 approximate error $|f-df|.$

$f(x)=7x^2+9x,x_0=-2,dx=0\mathrm{.}1$

$f=$

$(Simplify$ your answer. Type $an$ integer $or$ a decimal.$)$

$df=$

$(Simplify$ your answer. Type $an$ integer $or$ a decimal.$)$

The approximate error $is$

$.$

$(Simplify$ your answer. Type $an$ integer $or$ a decimal.$)$