a$)$ Graph the function $f(x)=x^2+5x.$

b$)$ Draw the tangent lines to the graph at the points whose $x-$coordinates are $-5,-1,$ and $0.$

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

d$)$ Find $f^{\text{'}}(-5),f^{\text{'}}(-1),$ and $f^{\text{'}}(0).$ These slopes should match those of the lines in part $($b$).$