Use the function below to answer parts $($a$)-($d$).$

$f(x)=\frac{3}{2}{x}^2$

$($a$)$ Graph the function.

$($b$)$ Draw lines tangent to the graph at points whose $x-$coordinates are $0,$ and $1,4.$

$($c$)$ Find $f^{\text{'}}(x)$ by determining $\underset{h0}{lim}\frac{f(x+h)-f(x)}{h}.$

$($d$)$ Find $f^{\text{'}}(0),f^{\text{'}}(1),$ and $f^{\text{'}}(4).$

A$.$ B$.$ c$.$

$($b$)$ Choose the correct graph below.

A$.$ B$.$

$$ c$.$

$($c$)f^{\text{'}}(x)=$

$($d$)$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.f^{\text{'}}(0)=($Simplify your answer.$)$

B$.$ There is no solution.